MODEL TEST PAPER I. Time : 3 hours Maximum Marks : 100
|
|
- Diane Clark
- 5 years ago
- Views:
Transcription
1 MODEL TEST PAPER I Time : 3 hours Maimum Marks : 00 General Instructions : (i) (ii) (iii) (iv) (v) All questions are compulsory. Q. to Q. 0 of Section A are of mark each. Q. to Q. of Section B are of 4 marks each. Q. 3 to Q. 9 of Section C are of 6 marks each. There is no overall choice. However an internal choice has been provided in some questions. SECTION A. A = {,, 3, 4, 5, 6}, B = {, 3, 5, 7, 9} U = {,, 3, 4,...0}, Write (A B). Epress ( i) in the standard form a + ib. 3. Find 0 th term from end of the A.P. 3, 7,, Evaluate Evaluate lim 0 e e 6. Evaluate lim 0 7. A bag contains 9 red, 7 white and 4 black balls. If two balls are drawn at random, find the probability that both balls are red. 8. What is the probability that an ordinary year has 53 Sundays? 5 [XI Mathematics]
2 9. Write the contrapositive of the following statement : it two lines are parallel, then they do not intersect in the same plane. 0. Check the validity of the compound statement 80 is a multiple of 5 and 4. SECTION B. Find the derivative of sin with respect to from first principle. Find the derivative of sin cos sin cos with respect to.. Two students Ajay and Aman appeared in an interview. The probability that Ajay will qualify the interview is 0.6 and that Aman will qualify the interview is 0.. The probability that both will qualify is Find the probability that (a) (b) Both Ajay and Aman will not qualify. Only Aman qualifies Find domain and range of the real function f 4. Let R be a relation in set A = {,, 3, 4, 5, 6, 7} defined as R = {(a, b): a divides b, a b}. Write R in Roster form and hence write its domain and range. Draw graph of f() = Solve : sin cos Prove that 9 5 cos. cos cos 3 cos sin 5 sin. 6 [XI Mathematics]
3 7. If and y are any two distinct integers, then prove by mathematical induction that n y n is divisible by ( y) n N. 8. If + iy = (a + ib) /3, then show that 4 y Find the square roots of the comple number 7 4i 9. Find the equation of the circle passing through points (, ) and (4, 3) and has its centre on the line 3 + 4y = 7. The foci of a hyperbola coincide with of the foci of the ellipse y. Find the equation of the hyperbola, if its eccentricity is Find the coordinates of the point, at which yz plane divides the line segment joining points (4, 8, 0) and (6, 0, 8).. How many words can be made from the letters of the word Mathematics, in which all vowels are never together.. From a class of 0 students, 8 are to be chosen for an ecusion party. There are two students who decide that either both of them will join or none of the two will join. In how many ways can they be choosen? a b y SECTION C 3. In a survey of 5 students, it was found that 5 had taken mathematics, had taken physics and had taken chemistry, 5 had taken mathematics and chemistry, 9 had taken mathematics and physics, 4 had taken physics and chemistry and 3 had taken all the three subjects. Find the number of students who had taken (i) (ii) atleast one of the three subjects, only one of the three subjects. 7 [XI Mathematics]
4 4. Prove that cos A cos A cos A cos 3 A Solve the following system of inequations graphically + y 40, 3 + y 30, 4 + 3y 60, 0, y 0 A manufacturer has 600 litres of a % solution of acid. How many litres of a 30% acid solution must be added to it so that acid content in the resulting miture will be more than 5% but less than 8%? 6. Find n, it the ratio of the fifth term from the beginning to the fifth term from the end in the epansion of 4 4 n is 6 : The sum of two numbers is 6 times their geometric mean. Show that the 3 : 3. numbers are in the ratio 8. Find the image of the point (3, 8) with respect to the line + 3y = 7 assuming the line to be a plane mirror. 9. Calculate mean and standard deviation for the following data Age Number of persons The mean and standard deviation of 0 observations are found to be 0 and respectively. On rechecking it was found that an observation was misread as 8. Calculate correct mean and correct standard deviation. 8 [XI Mathematics]
5 ANSWERS SECTION A. (A B) = {, 3, 5, 7, 8, 9, 0}. 3 4 i If two lines intersect in zone plane then they are not parallel. 0. Statement in true. SECTION B. cos sin or sin cos. (a) 0.76 (b) Domain = R {, } Range = (, 0), [3, ) 4. R = {(, ), (, 3), (, 4), (, 5), (, 6), (, 7), (, 4), (, 6), (3, 6)} Domain = {,, 3} Range = {, 3, 4, 5, 6, 7} y = 3 y y = + O y 9 [XI Mathematics]
6 5., n z i and 4 + 3i y y + 55 = 0 y 4 0. (0, 4, 46) (i) 3; (ii) 5. y O y 6. n = 0 8. (, 4) 9. Mean = 55. S.D. =.874 Correct Mech = 0. Correct S.D. =.99 0 [XI Mathematics]
7 MODEL TEST PAPER II Time : 3 hours Maimum Marks : 00 General Instructions : (i) (ii) (iii) (iv) All questions are compulsory. The question paper consists of 9 questions divided into three Sections A, B and C. Section A comprises of 0 questions of one mark each. Section B comprises of questions of four marks each and Section C comprises of 7 questions of si marks each. There is no overall choice. However, an internal choice has been provided in 4 questions of four marks each and questions of si marks each. You have to attempt only one of the alternatives in all such questions. SECTION A. Determine the range of the relation R defined by R = {(, + 5) : {0,,, 3, 4, 5}}. What is the probability that a letter chosen at random from a word 'EQUALITY' is a vowel? 3. Write the value of sin Find the derivative of a b with respect to. 5. Find : lim 6. A coin is tossed twice, then find the probability of getting at least one head. [XI Mathematics]
8 7. Find the value of k for which the line (k 3) (4 k ) y + K 7k + 6 = 0 is parallel to the -ais. 8. Find the value of k for which 7, k, are in G.P Epress i 9 + i 0 + i + i in the form of a + ib. 0. Write the general solution of cos =. SECTION B. Find the derivative of f () = cosec with respect to from the first principle. Evaluate : lim At what point the origin be shifted, if the co-ordinates of a point (4, 5) becomes ( 3, 9)? 3. Find the euqation of the circle passing through (0, 0) and making intercepts a and b on the co-ordinate eis. Find the co-ordinates of the foci, the vertices, the eccentricity and the y length of the latus-rectum of the ellipse Fine the co-ordinates of the points which trisect the line segment joining the point P (4,, 6) and Q (0, 6, 6). 5. A youngman visits a hospital for medical check-up. The probability that he has lungs problem is 0.45, heart problem is 0.9 and either lungs or heart problem is What is the probability that he has both types of problems : lungs as well as heart? Out of 000 persons, how many are epected to have both types of problem? What should be done to keep good health and the hospital away? Describe briefly. [XI Mathematics]
9 6. Find the confficient of 5 in the product ( + ) 6 ( ) 7 using binomial theorem. Show that the coefficient of the middle term in the epanision of ( + ) n is equal to the sum of the coefficients of two middle terms in the epansion of ( + ) n. 7. Find the sum of sequence 7, 77, 777, 7777,... to n terms. 8. Determine the number of 5 card combinations out of a deck of 5 cards if each selection of 5 cards has eactly one king. 9. Convert 7i ( i ) in the polar form. 0. Prove that : sin 5 sin 3 sin cos 5 cos tan If sin 3, cos y, were any y both lie in second quadrant, find 5 3 the value of sin ( + y).. Write the contrapositive of (i) convere of (ii) negation of (iii) and identify the quantifier in (iv) (i) If a number is divisible by 9, then it is divisibily by 3. (ii) (iii) if is a prime number, then is odd. is not a comple number. (iv) For every prime number P, P is an irrational number.. If U = {,, 3,..., 5}, A = {3, 6, 9,, 5}, B = {,, 3, 4, 5}, C = {, 4, 6, 8, 0,, 4}, the find. (i) A (ii) A B (iii) A B (iv) B C 3 [XI Mathematics]
10 SECTION C 3. Calculate mean and variance for the following distribution : Classes Frequency The mean of 5 observations is 4.4 and their variance is 8.4. If three of the observation are, and 6, find the other two obervations. 4. The ratio of the A.M. and G.M. of two positie number a and b is m : n. show that : a : b m m n : m m n 5. Prove the following by using the principle of mathematical induction for all n N : n (n + ) (n + 5) is a multiple of In any triangle ABC, prove that : (b c ) cot A + (c a ) cot B + (a b ) cot C = 0 Prove that : cos + cos 3 cos A solution of 8% boric acid is to be diluted by adding a % boric acid solution to it. The resulting miture is to be more than 4% but less than 6% boric acid. If we have 640 litres of the 8% solution, how many litres of the % solution will have to be added? 8. In a survey, it is found that 05 people take X brand pan-masala, 30 take Y brand pan-masala and 45 take Z brand pan-masala. If 70 people take X brand as well as Y brand, 75 take Y brand as well as Z brand as well as Z brand 60 take X brand as well as Z brand and 40 take all the three, find how many people are surveyed who take the pan-masala of any kind? How many take Z brand pan-masala only. As a student what measures you take to spread awareness against pan-masala in society? 9. Prove that : cos 0 cos 30 cos 50 cos [XI Mathematics]
11 MODEL TEST PAPER I Time : 3 hours Maimum Marks : 00 SOLUTIONS AND MARKING SCHEME SECTION A Marks. {5, 6, 7, 8, 9,0} a ( a b) ± i 0. n, n z 3. d f ( h) f ( ) f ( ) lim d h 0 h SECTION B 5 [XI Mathematics]
12 d (cosec ) d cosec ( h) cosec lim h h0 lim h0 sin( h) sin h sin sin( h) h lim 0 h sin sin( h ) h h sin cos lim h sin sin( h) h0 h h sin cos h h ( ) lim. lim h0 h0 sin sin( ) cos ( ) cot cosec sin sin lim lim lim ( 6) 5 3 lim [XI Mathematics]
13 = = 0. Let the origin be shifted at a point (h, k). The Original co-ordinates of a point are (4, 5) =(, y) The new co-ordinates of a point are ( 3, 9) = (X, Y) X + h = 3 +h and Y + k = 9 + k for = 4 and y = h = 4 and 9 + k = 5 h = 7, k = 4 Hence, the origin be shifted at (7, 4). 3. Y (0, b) B C C(0, 0) A( a, 0) X Obiviously the circle passing through O(0,0), A (a, 0) and B (0, b) So AOB / So (A (a, 0), B(0.b) are the co-ordinates of end points of diameter of circle. So equation of circle is ( a) ( 0) + (y 0) (y b) = 0 + y a by = 0 y (7) (6) 7 [XI Mathematics]
14 Co-ordinates of foci = 3, 0 Co-ordinates of vertices = (+ 7, 0) e 3 7 Length of latus-rectum 7 7 : : 4. P A B P (4,, 6) (0, 6, 6) Let A and B be the points of triesection of PQ. A divides PQ in the ratio :. B dividaas PQ in the ratio :. A 0 4 ( 6) 6 ( 6),, i.e. A is (6, 4, ). and B 0 4 ( 6) 6 ( 6),, i.e., B is (8, 0, ). 5. let E be the event for lungs problem and E be the event for heart problem. P(E ) = 0.45, P (E ) = 0.9 P( E E ) 0.47 P( E E ) P( E ) P( E ) P( E E ) P( E E ) P( E E ) [XI Mathematics]
15 The epectation = = 70 persons. One should do (i) regular physical eercise, (ii) walking, (iii) playing some games, (iv) avoid junk food and take healthy food, (v) avoid tension and worry. 6. (+) 6 ( ) 7 = { 6 C C () + 6 C () + 6 C 3 () C 4 () C 5 () C 6 () 6 } { 7 C C ( ) + 7 C 3 ( ) C 4 ( ) C 4 ( ) C 6 ( ) C 7 ( ) 7 } = ( ) ( ) Coefficient of 5 as n is even = ( ) + (35) + 60 ( 35) () + 40 ( 7) + 9 = = 7 So middle term (of ( + ) n = (n + )th term. = n C n X n Coefficient of n = n C n similarly, middle term of ( + ) n = nth and (n+ ) th term The coefficient of these terms are n C n and n C n respectively. For showing n C n + n C n = n C n 7. S n = to n terms 7 [ to n terms] to n terms 9 9 [XI Mathematics]
16 n terms... n terms 7 9 n n 7 0(0 ) 7 0(0 ) n n Required number of ways = 4 C 48 C = = Comple number 7i i ( i ) z r z amplitude = 3 4 Required polar form 3 3 cos i sin L.H.S. sin 5 sin 3 sin cos 5 cos sin 5 sin sin 3 cos 5 cos sin 3 cos sin 3 sin 3 sin sin 3 (cos ) sin 3 sin cos sin 30 [XI Mathematics]
17 sin sin cos = tan = R.H.S. sin ( + y) = sin X cos y + cos sin y...(i) cos sin cos 4 5 Sicne lies in second quadrat. cos 4 5 sin cos y sin y 5 3 sin y 5 3 From (i), sin( y ) (i) If a number is not divisible by 3, it is not divisible by 9. (ii) If a number is odd, then it is a prime number. (iii) is a comple number. (iv) For every. 3 [XI Mathematics]
18 . (i) A = {,, 4, 5, 7, 8, 0,, 3, 4} (ii) A B = { 6, 9,, 5} (iii) A B = {,, 3, 4, 5, 6, 9,, 5} (iv) B C = {, 4} SECTION C 3. Classes Mid-point i f 05 u i fu u 30 fu N = 30 fu = fu = 76 ( marks for above calculation) Mean, X A h fu N = 07 Variance ( ) fu fu N N 3 [XI Mathematics]
19 = 900 (76) = 76 Let the other two observation be any 6. The series is,, 6, y. 6 y Mean, X y = 3...(i) Variance i n i (3.4) (.4) (.6) y ( y ) (4.4) y 97 Solving (i) and (ii), we get 9, y 4 or 4, y 9 Hence, two observation are 4 and 9. a b 4. A.M. G.M. ab a b m ab n 33 [XI Mathematics]
20 Applying componendo and dividendo property, we get a b ab m n a b ab m n a b m n a b m n a b m n a b m n Applying comonendo and dividendo property again, a b a b a b a b m n m n m n m n a m n m n b m n m n a m n m n b m n m n Squaring, a m n m n m n b b n m n m n m m n m m n m m n m m n a : b m m n : m m n Proved. 5. Let P (n) (n + ) (n + 5) is a multiple of [XI Mathematics]
21 P () is ( + ) ( + 5) is a multiple of 3. i.e. is multiple of 3 which is true. So, P() is true. Let P(m) be true, m N. m(m + ) (m + 5) is a multiple of 3. m(m + ) (m + 5) = 3 (let), where is an integer. We shall prove that P (m + ) is true. i.e., (m + ) (m + +)(m + + 5) is a multiple of 3. Now, (m + ) (m + ) (m + 6) = (m + ) (m + 8m + } = (m + ) {(m + 5m) + (3m + )} = (m + ) (m + 5m) + (m + ) (3m + ) = (m + ) m(m + 5) + 3(m + ) (m + 4) = (3m + ) (m + 4) = 3{ + (m + ) (m + 4)} = a multiple of 3 P (m + ) is true. So by induction P(n) is true for all a b c 6. By sine formula, k( let) sin A sin B sin C n N a k sin A, b k sin B, c k sin C L.H.S ( b c ) cot A ( c a ) cot B ( a b ) cot C cos A cos B cos C ( b c ) ( c a ) ( a b ) sin A sin B sin C 35 [XI Mathematics]
22 b c a k c a b k ( b c ). ( c a ). bc a ca b a b c k ( a b ). ab c k ( b c )( b c a ) ( c a ) c a b abc ( a b )( a b c ) k 0 0 R. H. S ab L.H.S cos cos cos cos cos cos cos cos cos 3 3 cos cos cos 3 3 cos cos cos 3 3 cos cos 3 R. H. S 36 [XI Mathematics]
23 7. Suppose litre of % solution is added for dilution Total miture = (640 + ) litre (640 ) (640 ) (640 ) (640 ) 50 6(640 ) and and and and Hence the volume of % solution to be added lies between 30 litres and 80 litres. 8. X-brand Y-brand e b f c a d g Z-brand 37 [XI Mathematics]
24 a b 70 since a 40 b 30 a d 75 d 35 a c 60 c 0 e c a b 05 e 5 a b d f 30 f 5 g c a d 45 g 50 Total people surveyed a b c d e f g = 5 No. of people taking Z-brand = g = 50 Taking pan-masala is very injurious to health. It causes cancer, mental disorder, high blood pressure and various other diseases. There is also a wastage of money in taking it. Compaign against pan-masala is alo required. 9. L.H.S. = cos 0 cos 30 cos 50 cos 70 = cos 30 (cos 70 cos 50 ) cos 0 3 ( cos 70 cos 50 ) cos 0 3 (cos 0 cos 0 ) cos ( cos 0 cos ( cos 0 cos 0 cos [XI Mathematics]
25 3 ( cos 0 cos 0 cos ( cos 0 cos 30 cos cos R. H. S 39 [XI Mathematics]
CHAPTER-1. SETS. Q.4 Write down the proper subsets of { a, b, Q.5 Write down the power set of { 5,6,7 }? Verify the following result :
CHAPTER-. SETS Q. Write the following sets in roster form (i) A = { : is an integer and 5 5 } (ii) B = { : is a natural number and < < 4} (iii) C= { : is a two- digit natural number such that sum of digit
More information130 Important Questions for XI
130 Important Questions for XI E T V A 1 130 Important Questions for XI PREFACE Have you ever seen a plane taking off from a runway and going up and up, and crossing the clouds but just think again that
More informationGrade XI Mathematics
Grade XI Mathematics Exam Preparation Booklet Chapter Wise - Important Questions and Solutions #GrowWithGreen Questions Sets Q1. For two disjoint sets A and B, if n [P ( A B )] = 32 and n [P ( A B )] =
More informationDELHI PUBLIC SCHOOL BLUE PRINT WEEKLY TEST CLASS XI (MATHEMATICS)
DELHI PUBLIC SCHOOL BLUE PRINT WEEKLY TEST CLASS XI (MATHEMATICS) S. N0. TYPES OF QUESTIONS NO. OF QUESTION MARKS TOTAL 1. VERY SHT ANSWER 6 1 6 2. SHT ANSWER 5 4 20 3. LONG ANSWER WITH ONE 4 6 24 VALUE
More informationKENDRIYA VIDYALAYA SANGATHAN BHOPAL REGION MODEL QUESTION PAPER III SUB : MATHEMATICS CLASS XI Time : 3 hours Max Marks : 100 GENERAL INSTRUCTION
KENDRIYA VIDYALAYA SANGATHAN BHOPAL REGION MODEL QUESTION PAPER III SUB : MATHEMATICS CLASS XI Time : 3 hours Max Marks : 100 GENERAL INSTRUCTION 1. All questions are compulsory. 2. The question paper
More informationMULTIPLE CHOICE QUESTIONS SUBJECT : MATHEMATICS Duration : Two Hours Maximum Marks : 100. [ Q. 1 to 60 carry one mark each ] A. 0 B. 1 C. 2 D.
M 68 MULTIPLE CHOICE QUESTIONS SUBJECT : MATHEMATICS Duration : Two Hours Maimum Marks : [ Q. to 6 carry one mark each ]. If sin sin sin y z, then the value of 9 y 9 z 9 9 y 9 z 9 A. B. C. D. is equal
More informationClass XI Subject - Mathematics
Class XI Subject - Mathematics Max Time: 3 hrs. Max Marks: 100 General Instructions: i. All questions are compulsory. ii. The question paper consists of 29 questions divided in three sections A, B and
More informationWBJEEM Answer Keys by Aakash Institute, Kolkata Centre MATHEMATICS
WBJEEM - 05 Answer Keys by, Kolkata Centre MATHEMATICS Q.No. μ β γ δ 0 B A A D 0 B A C A 0 B C A * 04 C B B C 05 D D B A 06 A A B C 07 A * C A 08 D C D A 09 C C A * 0 C B D D B C A A D A A B A C A B 4
More informationAnnual Examination ( ) Mathematics (Set A) ANSWER KEY. Time: 3 hours M. M: 100
Annual Examination (2014-15) Mathematics (Set A) ANSWER KEY Date: 23 /02/15 Class: XI Time: 3 hours M. M: 100 1 2 Section A Find the component statements of the following and check whether they are true
More informationCLASS XI Maths : Sample Paper-1
CLASS XI Maths : Sample Paper-1 Allotted Time : 3 Hrs Max. Marks : 100 Instructions 1. This questionnaire consists of 30 questions divided in four sections. Please verify before attempt. 2. Section I consists
More informationDESIGN OF THE QUESTION PAPER
DESIGN OF THE QUESTION PAPER MATHEMATICS - CLASS XI Time : 3 Hours Max. Marks : 00 The weightage of marks over different dimensions of the question paper shall be as follows:. Weigtage of Type of Questions
More information02. If (x, y) is equidistant from (a + b, b a) and (a b, a + b), then (A) x + y = 0 (B) bx ay = 0 (C) ax by = 0 (D) bx + ay = 0 (E) ax + by =
0. π/ sin d 0 sin + cos (A) 0 (B) π (C) 3 π / (D) π / (E) π /4 0. If (, y) is equidistant from (a + b, b a) and (a b, a + b), then (A) + y = 0 (B) b ay = 0 (C) a by = 0 (D) b + ay = 0 (E) a + by = 0 03.
More informationMockTime.com. (a) 36 (b) 33 (c) 20 (d) 6
185 NDA Mathematics Practice Set 1. Which of the following statements is not correct for the relation R defined by arb if and only if b lives within one kilometer from a? R is reflexive R is symmetric
More informationQUESTION BANK. Class : 10+1 & (Mathematics)
QUESTION BANK Class : + & + (Mathematics) Question Bank for + and + students for the subject of Mathematics is hereby given for the practice. While preparing the questionnaire, emphasis is given on the
More informationComplete Syllabus of Class XI & XII
Regd. Office : Aakash Tower, 8, Pusa Road, New Delhi-0005 Ph.: 0-7656 Fa : 0-767 MM : 0 Sample Paper : Campus Recruitment Test Time : ½ Hr. Mathematics (Engineering) Complete Syllabus of Class XI & XII
More informationDelhi Public School, Jammu Question Bank ( )
Class : XI Delhi Public School, Jammu Question Bank (07 8) Subject : Math s Q. For all sets A and B, (A B) (A B) A. LHS (A B) (A B) [(A B) A] [(A B) B] A A B A RHS Hence, given statement is true. Q. For
More informationMINIMUM PROGRAMME FOR AISSCE
KENDRIYA VIDYALAYA DANAPUR CANTT MINIMUM PROGRAMME FOR AISSCE 8 SUBJECT : MATHEMATICS (CLASS XII) Prepared By : K. N. P. Singh Vice-Principal K.V. Danapur Cantt () MATRIX. Find X and Y if 7 y & y 7 8 X,,
More informationANSWERS 1.3 EXERCISE. 1. (i) {2} (ii) {0, 1} (iii) {1, p}
ANSWERS. EXERCISE. (i) {} (ii) {0, } (iii) {, p}. (i) {0,, } (ii). {,,,,... P,( p } (iii) {,,, } 4. (i) True (ii) False (iii) True (iv) True 7. (i) {, 4, 6, 8,..., 98} (ii) (,4, 9, 6, 5, 6, 49, 64, 8,}
More information(c) n (d) n 2. (a) (b) (c) (d) (a) Null set (b) {P} (c) {P, Q, R} (d) {Q, R} (a) 2k (b) 7 (c) 2 (d) K (a) 1 (b) 3 (c) 3xyz (d) 27xyz
318 NDA Mathematics Practice Set 1. (1001)2 (101)2 (110)2 (100)2 2. z 1/z 2z z/2 3. The multiplication of the number (10101)2 by (1101)2 yields which one of the following? (100011001)2 (100010001)2 (110010011)2
More informationKEAM (ENGINEERING) ANSWER KEY 2017
MTHMTICS KM KY 07 PG: KM (NGINRING) KY 07 PPR II MTHMTICS QUSTIONS & S. p q r p q r + is equal to () q p () q + p (C) q () p () 0 5 0. Let = 0 5 5 () 0 and () 0 = 0. If + 5 C = 0, then C is 0 5 5 5 5 0
More informationKEAM (ENGINEERING) ANSWER KEY 2018
MTHEMTIS KEM KEY 08 PGE: M.O: Kunnumpuram, yurveda ollege Jn., Trivandrum-, (: 047-57040, 47040 E-mail: info@zephyrentrance.in, Website: www.zephyrentrance.in KOHI KOLLM RNHES Puthussery uilding, Kaloor
More informationSAMPLE QUESTION PAPER Class-X ( ) Mathematics. Time allowed: 3 Hours Max. Marks: 80
SAMPLE QUESTION PAPER Class-X (017 18) Mathematics Time allowed: 3 Hours Max. Marks: 80 General Instructions: (i) All questions are compulsory. (ii) The question paper consists of 30 questions divided
More information63487 [Q. Booklet Number]
WBJEE - 0 (Answers & Hints) 687 [Q. Booklet Number] Regd. Office : Aakash Tower, Plot No., Sector-, Dwarka, New Delhi-0075 Ph. : 0-7656 Fa : 0-767 ANSWERS & HINTS for WBJEE - 0 by & Aakash IIT-JEE MULTIPLE
More informationMATHEMATICS ( CANDIDATES WITH PRACTICALS/INTERNAL ASSESSMENT ) ( CANDIDATES WITHOUT PRACTICALS/INTERNAL ASSESSMENT )
Total No. of Printed Pages 6 X/5/M 0 5 MATHEMATICS ( CANDIDATES WITH PRACTICALS/INTERNAL ASSESSMENT ) Full Marks : 80 Pass Marks : 4 ( CANDIDATES WITHOUT PRACTICALS/INTERNAL ASSESSMENT ) Full Marks : 00
More informationKENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32. SECTION A Questions 1 to 6 carry 1 mark each.
KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32 SAMPLE PAPER TEST 09 (2018-19) (SAMPLE ANSWERS) SUBJECT: MATHEMATICS MAX. MARKS : 80 CLASS : X DURATION : 3 HRS General Instruction: (i) All questions
More information2016 SEC 4 ADDITIONAL MATHEMATICS CW & HW
FEB EXAM 06 SEC 4 ADDITIONAL MATHEMATICS CW & HW Find the values of k for which the line y 6 is a tangent to the curve k 7 y. Find also the coordinates of the point at which this tangent touches the curve.
More informationQUESTION BANK ON. CONIC SECTION (Parabola, Ellipse & Hyperbola)
QUESTION BANK ON CONIC SECTION (Parabola, Ellipse & Hyperbola) Question bank on Parabola, Ellipse & Hyperbola Select the correct alternative : (Only one is correct) Q. Two mutually perpendicular tangents
More informationObjective Mathematics
. A tangent to the ellipse is intersected by a b the tangents at the etremities of the major ais at 'P' and 'Q' circle on PQ as diameter always passes through : (a) one fied point two fied points (c) four
More informationTime : 3 hours 02 - Mathematics - July 2006 Marks : 100 Pg - 1 Instructions : S E CT I O N - A
Time : 3 hours 0 Mathematics July 006 Marks : 00 Pg Instructions :. Answer all questions.. Write your answers according to the instructions given below with the questions. 3. Begin each section on a new
More informationoo ks. co m w w w.s ur ab For Order : orders@surabooks.com Ph: 960075757 / 84000 http://www.trbtnpsc.com/07/08/th-eam-model-question-papers-download.html Model Question Papers Based on Scheme of Eamination
More informationKendriya Vidyalaya Sangathan Class -X Subject- Mathematics Time - M.M - 80
Kendriya Vidyalaya Sangathan Class -X Subject- Mathematics Time - M.M - 80 General Instruction :-. All Questions are compulsory, however internal choices are given in some questions.. This question paper
More informationMathematics. Knox Grammar School 2012 Year 11 Yearly Examination. Student Number. Teacher s Name. General Instructions.
Teacher s Name Student Number Kno Grammar School 0 Year Yearly Eamination Mathematics General Instructions Reading Time 5 minutes Working Time 3 hours Write using black or blue pen Board approved calculators
More informationBasic Mathematics - XII (Mgmt.) SET 1
Basic Mathematics - XII (Mgmt.) SET Grade: XII Subject: Basic Mathematics F.M.:00 Time: hrs. P.M.: 40 Model Candidates are required to give their answers in their own words as far as practicable. The figures
More informationTest Codes : MIA (Objective Type) and MIB (Short Answer Type) 2007
Test Codes : MIA (Objective Type) and MIB (Short Answer Type) 007 Questions will be set on the following and related topics. Algebra: Sets, operations on sets. Prime numbers, factorisation of integers
More informationDEVELOPMENT OF SUPPORT MATERIAL IN MATHEMATICS FOR CLASS XI GROUP LEADER. Sl. No. Name Designation TEAM MEMBERS
DEVELOPMENT OF SUPPORT MATERIAL IN MATHEMATICS FOR CLASS XI GROUP LEADER Sl. No. Name Designation Dr. Vandita Kalra Vice Principal GGSSS, Kirti Nagar TEAM MEMBERS. Joginder Arora PGT Maths RPVV, Hari Nagar.
More informationSummer Review Packet for Students Entering AP Calculus BC. Complex Fractions
Summer Review Packet for Students Entering AP Calculus BC Comple Fractions When simplifying comple fractions, multiply by a fraction equal to 1 which has a numerator and denominator composed of the common
More informationACS MATHEMATICS GRADE 10 WARM UP EXERCISES FOR IB HIGHER LEVEL MATHEMATICS
ACS MATHEMATICS GRADE 0 WARM UP EXERCISES FOR IB HIGHER LEVEL MATHEMATICS DO AS MANY OF THESE AS POSSIBLE BEFORE THE START OF YOUR FIRST YEAR IB HIGHER LEVEL MATH CLASS NEXT SEPTEMBER Write as a single
More informationabc Mathematics Pure Core General Certificate of Education SPECIMEN UNITS AND MARK SCHEMES
abc General Certificate of Education Mathematics Pure Core SPECIMEN UNITS AND MARK SCHEMES ADVANCED SUBSIDIARY MATHEMATICS (56) ADVANCED SUBSIDIARY PURE MATHEMATICS (566) ADVANCED SUBSIDIARY FURTHER MATHEMATICS
More informationIIT JEE Maths Paper 2
IIT JEE - 009 Maths Paper A. Question paper format: 1. The question paper consists of 4 sections.. Section I contains 4 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) for
More informationKENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION
KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 08 (2017-18) SUBJECT: MATHEMATICS(041) BLUE PRINT : CLASS X Unit Chapter VSA (1 mark) SA I (2 marks) SA II (3 marks) LA (4 marks) Total Unit
More informationMATHEMATICS EXTENSION 2
Sydney Grammar School Mathematics Department Trial Eaminations 008 FORM VI MATHEMATICS EXTENSION Eamination date Tuesday 5th August 008 Time allowed hours (plus 5 minutes reading time) Instructions All
More informationy mx 25m 25 4 circle. Then the perpendicular distance of tangent from the centre (0, 0) is the radius. Since tangent
Mathematics. The sides AB, BC and CA of ABC have, 4 and 5 interior points respectively on them as shown in the figure. The number of triangles that can be formed using these interior points is () 80 ()
More informationSolutionbank C2 Edexcel Modular Mathematics for AS and A-Level
file://c:\users\buba\kaz\ouba\c_rev_a_.html Eercise A, Question Epand and simplify ( ) 5. ( ) 5 = + 5 ( ) + 0 ( ) + 0 ( ) + 5 ( ) + ( ) 5 = 5 + 0 0 + 5 5 Compare ( + ) n with ( ) n. Replace n by 5 and
More informationDESIGN OF THE QUESTION PAPER Mathematics Class X
SET-I DESIGN OF THE QUESTION PAPER Mathematics Class X Time : 3 Hours Maximum Marks : 80 Weightage and the distribution of marks over different dimensions of the question shall be as follows: (A) Weightage
More informationMathematics Extension 2
0 HIGHER SCHOOL CERTIFICATE EXAMINATION Mathematics Etension General Instructions Reading time 5 minutes Working time hours Write using black or blue pen Black pen is preferred Board-approved calculators
More informationKENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32
KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 3 SAMPLE PAPER 06 (018-19) SUBJECT: MATHEMATICS(041) BLUE PRINT : CLASS X Unit Chapter VSA (1 mark) SA I ( marks) SA II (3 marks) LA (4 marks) Total Unit
More informationGOVERNMENT OF KARNATAKA KARNATAKA STATE PRE-UNIVERSITY EDUCATION EXAMINATION BOARD SCHEME OF VALUATION. Subject : MATHEMATICS Subject Code : 35
GOVERNMENT OF KARNATAKA KARNATAKA STATE PRE-UNIVERSITY EDUCATION EXAMINATION BOARD II YEAR PUC EXAMINATION MARCH APRIL 0 SCHEME OF VALUATION Subject : MATHEMATICS Subject Code : 5 PART A Write the prime
More informationSAMPLE QUESTION PAPER Class-X ( ) Mathematics. Time allowed: 3 Hours Max. Marks: 80
SAMPLE QUESTION PAPER Class-X (017 18) Mathematics Time allowed: 3 Hours Max. Marks: 80 General Instructions: (i) All questions are compulsory. (ii) The question paper consists of 30 questions divided
More informationCBSE Class X Mathematics Board Paper 2019 All India Set 3 Time: 3 hours Total Marks: 80
CBSE Class X Mathematics Board Paper 2019 All India Set 3 Time: 3 hours Total Marks: 80 General Instructions: (i) All questions are compulsory. (ii) The question paper consists of 30 questions divided
More informationCBSE QUESTION PAPER CLASS-X MATHS
CBSE QUESTION PAPER CLASS-X MATHS SECTION - A Question 1:If sin α = 1 2, then the value of 4 cos3 α 3 cos α is (a)0 (b)1 (c) 1 (d)2 Question 2: If cos 2θ = sin(θ 12 ), where2θ and (θ 12 ) are both acute
More informationCBSE Sample Question Paper 1 ( )
CBSE Sample Question Paper (07-8 Time: Hours Maximum Marks: 80 General Instructions: (i All questions are compulsory. (ii The question paper consists of 0 questions divided into four sections A, B, C and
More informationDESIGN OF THE QUESTION PAPER Mathematics Class X NCERT. Time : 3 Hours Maximum Marks : 80
DESIGN OF THE QUESTION PAPER Mathematics Class X Weightage and the distribution of marks over different dimensions of the question shall be as follows: (A) Weightage to Content/ Subject Units : S.No. Content
More informationKENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32
KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32 SAMPLE PAPER 02 (2018-19) SUBJECT: MATHEMATICS(041) BLUE PRINT : CLASS X Unit Chapter VSA (1 mark) SA I (2 marks) SA II (3 marks) LA (4 marks) Total Unit
More informationCAMBRIDGE SCHOOL NOIDA MATHS ASSIGNMENT CLASS XI TOPIC: SETS THEORY AND LINEAR INEQUALITIES
CAMBRIDGE SCHOOL NOIDA MATHS ASSIGNMENT CLASS XI TOPIC: SETS THEORY AND LINEAR INEQUALITIES Q1. Taking the set of natural numbers as the universal set, write down the complement of {x: x is a natural number
More informationMockTime.com. NDA Mathematics Practice Set 1.
346 NDA Mathematics Practice Set 1. Let A = { 1, 2, 5, 8}, B = {0, 1, 3, 6, 7} and R be the relation is one less than from A to B, then how many elements will R contain? 2 3 5 9 7. 1 only 2 only 1 and
More informationCBSE Class X Mathematics Sample Paper 04
CBSE Class X Mathematics Sample Paper 04 Time Allowed: 3 Hours Max Marks: 80 General Instructions: i All questions are compulsory ii The question paper consists of 30 questions divided into four sections
More information1. The positive zero of y = x 2 + 2x 3/5 is, to the nearest tenth, equal to
SAT II - Math Level Test #0 Solution SAT II - Math Level Test No. 1. The positive zero of y = x + x 3/5 is, to the nearest tenth, equal to (A) 0.8 (B) 0.7 + 1.1i (C) 0.7 (D) 0.3 (E). 3 b b 4ac Using Quadratic
More informationRAJASTHAN P.E.T. MATHS 1997
RAJASTHAN P.E.T. MATHS 1997 1. The value of k for which the points (0,0), (2,0), (0,1) and (0,k) lies on a circle is : (1) 1,2 (2) -1,2 (3) 0,2 (4) 0, 1 2. The area of the triangle formed by the tangent
More informationPRACTICE PAPER 6 SOLUTIONS
PRACTICE PAPER 6 SOLUTIONS SECTION A I.. Find the value of k if the points (, ) and (k, 3) are conjugate points with respect to the circle + y 5 + 8y + 6. Sol. Equation of the circle is + y 5 + 8y + 6
More informationb = 2, c = 3, we get x = 0.3 for the positive root. Ans. (D) x 2-2x - 8 < 0, or (x - 4)(x + 2) < 0, Therefore -2 < x < 4 Ans. (C)
SAT II - Math Level 2 Test #02 Solution 1. The positive zero of y = x 2 + 2x is, to the nearest tenth, equal to (A) 0.8 (B) 0.7 + 1.1i (C) 0.7 (D) 0.3 (E) 2.2 ± Using Quadratic formula, x =, with a = 1,
More informationSophomore Year: Algebra II Textbook: Algebra II, Common Core Edition Larson, Boswell, Kanold, Stiff Holt McDougal 2012
Sophomore Year: Algebra II Tetbook: Algebra II, Common Core Edition Larson, Boswell, Kanold, Stiff Holt McDougal 2012 Course Description: The purpose of this course is to give students a strong foundation
More informationMATHEMATICS. 61. If letters of the word KUBER are written in all possible orders and arranged as in a dictionary, then rank of the word KUBER will be:
MATHEMATICS 61. If letters of the word KUBER are written in all possible orders and arranged as in a dictionary, then rank of the word KUBER will be: (A) 67 (B) 68 (C) 65 (D) 69 : Alphabetical order of
More informationANSWERS EXERCISE 1.1 EXERCISE 1.2
ANSWERS EXERCISE.. (i), (iv), (v), (vi), (vii) and (viii) are sets.. (i) (ii) (iii) (vi) (v) (vi). (i) A = {,,, 0,,,, 4, 5, 6 } (ii) B = {,,, 4, 5} (iii) C = {7, 6, 5, 44, 5, 6, 7, 80} (iv) D = {,, 5}
More informationSAMPLE QUESTION PAPER 09 Class-X ( ) Mathematics
SAMPLE QUESTION PAPER 09 Class-X (2017 18) Mathematics Time allowed: 3 Hours Max. Marks: 80 General Instructions: (i) All questions are compulsory. (ii) The question paper consists of 30 questions divided
More informationBlue print Chapters 1mark 2marks 3marks 4marks total
PRE-BOARD SAMPLE PAPER 2018-19 CLASS-X BLUEPRINT Blue print Chapters 1mark 2marks 3marks 4marks total real numbers 1 1 5 Polynomials 1 1 4 Linear equations 1 1 6 quadratic equation 1 1 6 A.P. 1 4 Triangles
More informationMATHEMATICS. metres (D) metres (C)
MATHEMATICS. If is the root of the equation + k = 0, then what is the value of k? 9. Two striaght lines y = 0 and 6y 6 = 0 never intersect intersect at a single point intersect at infinite number of points
More informationBASIC MATHEMATICS - XII SET - I
BASIC MATHEMATICS - XII Grade: XII Subject: Basic Mathematics F.M.:00 Time: hrs. P.M.: 40 Candidates are required to give their answers in their own words as far as practicable. The figures in the margin
More informationCambridge International Examinations CambridgeOrdinaryLevel
Cambridge International Examinations CambridgeOrdinaryLevel * 2 5 4 0 0 0 9 5 8 5 * ADDITIONAL MATHEMATICS 4037/12 Paper1 May/June 2015 2 hours CandidatesanswerontheQuestionPaper. NoAdditionalMaterialsarerequired.
More informationMathematics. Single Correct Questions
Mathematics Single Correct Questions +4 1.00 1. If and then 2. The number of solutions of, in the interval is : 3. If then equals : 4. A plane bisects the line segment joining the points and at right angles.
More information1. SETS AND FUNCTIONS
. SETS AND FUNCTIONS. For two sets A and B, A, B A if and only if B A A B A! B A + B z. If A B, then A + B is B A\ B A B\ A. For any two sets Pand Q, P + Q is " x : x! P or x! Q, " x : x! P and x b Q,
More informationTopper Sample Paper- 3 CLASS XI MATHEMATICS Time Allowed: 3 Hrs Maximum Marks: 100
Topper Sample Paper- CLASS XI MATHEMATICS Time Allowed: Hrs Maximum Marks: 00. All questions are compulsory.. The question paper consist of 9 questions divided into three sections A, B and C. Section A
More informationTransweb Educational Services Pvt. Ltd Tel:
. An aeroplane flying at a constant speed, parallel to the horizontal ground, km above it, is observed at an elevation of 6º from a point on the ground. If, after five seconds, its elevation from the same
More informationICSE Solved Paper, 2018
ICSE Solved Paper, 018 Class-X Mathematics (Maximum Marks : 80) (Time allowed : Two hours and a half) Answers to this Paper must be written on the paper provided separately. You will not be allowed to
More informationSummer Review Packet. for students entering. IB Math SL
Summer Review Packet for students entering IB Math SL The problems in this packet are designed to help you review topics that are important to your success in IB Math SL. Please attempt the problems on
More informationEINSTEIN CLASSES. C B S E XIIth Board PRACTICE ASSIGNMENT
EINSTEIN CLASSES P R E S E N T S C B S E XIIth Board PRACTICE ASSIGNMENT MATHEMATICS NOTE THE FOLLOWING POINTS : Einstein Classes is primarily concerned with the preparation of JEE-ADVANCE /JEE-MAIN/BITS/PMT/AIIMS
More informationJEE (Advanced) 2018 MATHEMATICS QUESTION BANK
JEE (Advanced) 08 MATHEMATICS QUESTION BANK Ans. A [ : a multiple of ] and B [ : a multiple of 5], then A B ( A means complement of A) A B A B A B A B A { : 5 0}, B {, }, C {,5}, then A ( B C) {(, ), (,
More informationLesson-3 TRIGONOMETRIC RATIOS AND IDENTITIES
Lesson- TRIGONOMETRIC RATIOS AND IDENTITIES Angle in trigonometry In trigonometry, the measure of an angle is the amount of rotation from B the direction of one ray of the angle to the other ray. Angle
More information2. In an AP. if the common difference (d) = -4, and the seventh term (a7) is 4, then find the first term.
CBSE Board Class X Set 3 Mathematics Board Question Paper 2018 Time: 3 hrs. Marks: 80 Note: Please check that this question paper contains 11 printed pages. Code number given on the right hand side of
More informationCPT Solved Scanner (English) : Appendix 71
CPT Solved Scanner (English) : Appendix 71 Paper-4: Quantitative Aptitude Chapter-1: Ratio and Proportion, Indices and Logarithm [1] (b) The integral part of a logarithms is called Characteristic and the
More informationare in c) A B (D) 2 = {4,5,6} by = {(4,4), (5,5), (6,6)} is (C) (B) 0 < (C) 0 = 8, = 5 = 8, = 8 (B) (D) (C) 2 +
1. If are in GP then AP GP are in HP 2. The sum to infinity of the series 1 3. The set B-A a subset of a) A c) A B b) B d)null set 4. The converse of the statement if 3 3 6 then I am the president of USA
More informationFILL THE ANSWER HERE
HOM ASSIGNMNT # 0 STRAIGHT OBJCTIV TYP. If A, B & C are matrices of order such that A =, B = 9, C =, then (AC) is equal to - (A) 8 6. The length of the sub-tangent to the curve y = (A) 8 0 0 8 ( ) 5 5
More informationCenters at Malleshwaram Rajajinagar Yelahanka Mathikere
1. x, y, z together start a business. If x invests 3 times as much as y invests and y invests two third of what z invests, then the ratio of capitals of x, y, z is : (a) 3 : 9 : 2 (b) 6 : 3 : 2 (c) 3 :
More informationMODEL TEST PAPER 9 FIRST TERM (SA-I) MATHEMATICS (With Answers)
MODEL TEST PAPER 9 FIRST TERM (SA-I) MATHEMATICS (With Answers) CLASS X llme Allowed, : 3 to 3% Hours] LMaximum Marks : 80 General Instructions : (i) All are compulsory. (ii) The question paper consists
More informationMathematics syllabus for Grade 11 and 12 For Bilingual Schools in the Sultanate of Oman
03 04 Mathematics syllabus for Grade and For Bilingual Schools in the Sultanate of Oman Prepared By: A Stevens (Qurum Private School) M Katira (Qurum Private School) M Hawthorn (Al Sahwa Schools) In Conjunction
More informationThe University of the State of New York REGENTS HIGH SCHOOL EXAMINATION THREE-YEAR SEQUENCE FOR HIGH SCHOOL MATHEMATICS COURSE III
The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION THREE-YEAR SEQUENCE FOR HIGH SCHOOL MATHEMATICS COURSE III Thursday, June 20, 2002 :5 to 4:5 p.m., only Notice... Scientific calculators
More informationSummer Packet Honors PreCalculus
Summer Packet Honors PreCalculus Honors Pre-Calculus is a demanding course that relies heavily upon a student s algebra, geometry, and trigonometry skills. You are epected to know these topics before entering
More informationQUESTION PAPER - 6. Time : 3 Hours Maximum Marks : 100 SECTION A. Range = (0, ) x = 8 sin 3 x 3. tan 8x. lim sin 3. B (x, y) O (2, 5) = 2
SOLUTIONS SAMPLE QUESTION PAPER - 6 Self Assessment Time : Hours Maximum Marks : 00 SECTION A. We have R {(x, y) : (x y) is odd natural number x A, y B}. R {(5, 4)}. f(x) 5 x.. It is defined when 5 x >
More informationIntroduction to Probability, Fall 2009
Introduction to Probability, Fall 2009 Math 30530 Review questions for exam 1 solutions 1. Let A, B and C be events. Some of the following statements are always true, and some are not. For those that are
More informationMockTime.com. (b) 9/2 (c) 18 (d) 27
212 NDA Mathematics Practice Set 1. Let X be any non-empty set containing n elements. Then what is the number of relations on X? 2 n 2 2n 2 2n n 2 2. Only 1 2 and 3 1 and 2 1 and 3 3. Consider the following
More informationPre-Calculus and Trigonometry Capacity Matrix
Pre-Calculus and Capacity Matri Review Polynomials A1.1.4 A1.2.5 Add, subtract, multiply and simplify polynomials and rational epressions Solve polynomial equations and equations involving rational epressions
More informationX- MATHS IMPORTANT FORMULAS SELF EVALUVATION 1. SETS AND FUNCTIONS. 1. Commutative property i ii. 2. Associative property i ii
X- MATHS IMPORTANT FORMULAS SELF EVALUVATION 1. SETS AND FUNCTIONS 1. Commutative property i ii 2. Associative property i ii 3. Distributive property i ii 4. De Morgan s laws i ii i ii 5. Cardinality of
More informationKENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32
KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32 SAMPLE PAPER 09 (2018-19) SUBJECT: MATHEMATICS(041) BLUE PRINT : CLASS X Unit Chapter VSA (1 mark) SA I (2 marks) SA II (3 marks) LA (4 marks) Total Unit
More informationLEAVING CERTIFICATE EXAMINATION, 2001 MATHEMATICS HIGHER LEVEL
M 30 AN ROINN OIDEACHAIS AGUS EOLAÍOCHTA LEAVING CERTIFICATE EXAMINATION, 001 MATHEMATICS HIGHER LEVEL PAPER (300 marks) MONDAY, 11 JUNE MORNING, 930 to 100 Attempt FIVE questions from Section A and ONE
More informationPortable Assisted Study Sequence ALGEBRA IIB
SCOPE This course is divided into two semesters of study (A & B) comprised of five units each. Each unit teaches concepts and strategies recommended for intermediate algebra students. The second half of
More informationDO NOT OPEN THIS TEST BOOKLET UNTIL YOU ARE ASKED TO DO SO
DO NOT OPEN THIS TEST BOOKLET UNTIL YOU ARE ASKED TO DO SO T.B.C. : P-AQNA-L-ZNGU Serial No.- TEST BOOKLET MATHEMATICS Test Booklet Series Time Allowed : Two Hours and Thirty Minutes Maximum Marks : 00
More informationSAMPLE PAPER 3 (SA II) Mathematics CLASS : X. Time: 3hrs Max. Marks: 90
1 SAMPLE PAPER 3 (SA II) MRS.KIRAN WANGNOO Mathematics CLASS : X Time: 3hrs Max. Marks: 90 General Instruction:- 1. All questions are Compulsory. 1. The question paper consists of 34 questions divided
More information1 is equal to. 1 (B) a. (C) a (B) (D) 4. (C) P lies inside both C & E (D) P lies inside C but outside E. (B) 1 (D) 1
Single Correct Q. Two mutuall perpendicular tangents of the parabola = a meet the ais in P and P. If S is the focus of the parabola then l a (SP ) is equal to (SP ) l (B) a (C) a Q. ABCD and EFGC are squares
More informationCBSE Class X Mathematics Sample Paper 03
CBSE Class X Mathematics Sample Paper 03 Time Allowed: 3 Hours Max Marks: 80 General Instructions: i All questions are compulsory ii The question paper consists of 30 questions divided into four sections
More informationCBSE CLASS-10 MARCH 2018
CBSE CLASS-10 MARCH 2018 MATHEMATICS Time : 2.30 hrs QUESTION Marks : 80 General Instructions : i. All questions are compulsory ii. This question paper consists of 30 questions divided into four sections
More information