1 / 23


 Willis Robertson
 2 years ago
 Views:
Transcription
1 CBSEXII07 EXAMINATION CBSEX00 EXAMINATION MATHEMATICS Series: LRH/ Paper & Solution Code: 30// Time: 3 Hrs. Max. Marks: 80 General Instuctions : (i) All questions are compulsory. (ii) The question paper consists of 30 questions divided into four sections  A, B, C and D. Section A comprises often questions of mark each, Section B comprises of five questions of marks each, Section C comprises often questions of 3 marks each and Section D comprises of five questions of 6 marks each. (iii) All questions in Section A are to be answered in one word, one sentence. or as per the exact requirement of the question. (iv) There is no overall choice. However, an internal choice has been provided in one question of marks each. three questions of 3 marks each and two questions of 6 marks each. You have to attempt only one of the alternative in all such questions. (v) In question on construction, the drawings should be neat and exactly as per the given measurements. (vi) Use of calculators is not permitted. SECTION A Question Numbers to 0 carry mark each. 44. Has the rational number a terminating or a nonterminating decimal representation? Given a rational number Since the denominator is not in the form of m 5n. the rational number has non terminating repeating decimal expansion. If, are the zeroes of a polynomial, such that 6 and 4, then write the polynomial. Given and β are the zeroes of quadratic polynomial with +β = 6 β = 4 Quadratic polynomial =x 6x+4 =x 6x+4 3. If the sum of first p terms of an A.P., is ap + bp, find its common difference. Given an AP which has sum of first P terms =ap +bp Lets say first term=k & common difference =d ap p +bp= k p d ap b k p d b ap k d pd / 3
2 CBSEX00 EXAMINATION Comparing terms (r) both sides a d k d b k b a k a b Common difference =a First term = a + b 4. In Fig., S and T are points on the sides PQ and PR, respectively of PQR, such that PT = cm, TR = 4 cm and ST is parallel to QR. Find the ratio of the areas of PST and PQR. Given : PT cm,tr cm ST QR solution :AS itisgiven that ST QR PST PQR PS PT ST PQ PR QR ar PST PT ar PQR TR 4 ratio : 4 ar PST PS PT ST Also, ar PQR PQ TR QR / 3
3 CBSEX00 EXAMINATION 5. In fig., AHK is similar to ABC. If AK = 0 cm, BC = 3.5 cm and HK = 7 cm, find AC. Given AHK ~ ABC AH HK AK AB BC AC Also we know AK=0cm, BC=3.5cm and HK=7cm AK HK AC BC 0 7 AC 35. AC 5cm 6. lf 3x = cosec 9 and 3 cot, x find the value of 3 x. x Given 3x=cosec θ 3 cot x We know that cosec θcot θ= 9 9x x 9x x x 3 3 x 3 / 3
4 CBSEX00 EXAMINATION 7. If P(, p) is the midpoint of the line segment joining the points A(6, 5) and B(, ). find the value of p. Given P is midpoint of AB (,P)= 6, 5, p, 3 p 3 8. If A(, ), B(4, 3) and C(6, 6) are the three vertices of a parallelogram ABCD, find the coordinates of the fourth vertex D. Given ABCD is a parallelogram In a parallelogram diagonals each other. 0 is midpoint to AC and BD 6 6 0, 0, 4 Lets say D=(x,y) x , 7 But we know 0 4, 7 x4 3 y and 4 x 3, y 5 D 35, 4 / 3
5 CBSEX00 EXAMINATION 9. The slant height of a frustum of a cone is 4 cm and the perimeters (circumferences) of its circular ends are 8 cm and 6 cm. Find the curved surface area of the frustum. [Use ] 7 Given slant height (l)=4cm Perimeters of circular ends: πr=6cm πr=8cm C.S.A=πl(r+R)=4 =48cm 0. A card is drawn at random from a well shuffled pack of 5 playing cards. Find the probability of getting a red face card. A card is drawn from 5 card total no of possible outcomes =5 No of face cards = No of Red face cards =6 6 Probability of drawing = 5 3 A Red face card = 6 Question Numbers to 5 carry marks each. Section B. If two zeroes of the polynomial x 34x  3x + are 3 and 3 Given a polynomial X 4x 3x+=0 Sum of all the zeroes of polynomial =(4)=4 Given two zeroes of 3, 3 Say the third zero = third zero is 4, then find its third zero. 5 / 3
6 CBSEX00 EXAMINATION. Find the value of k for which the following pair of linear equations have infinitely many solutions x + 3y = 7; (k)x + (k + )y = 3k x+3y=7 (k)x+(k+)y =3k For this pair of linear equations to have infinitely many solution, they need to be concident 3 7 k k 3k Upon solving we get k 7 3. In an A.P., the first term is, the last term is 9 and sum of the terms is 55. Find the common difference of the A.P. Given an AP with first term (a)= Last term (l)=9 Sum of the term =55 Common difference (d)=? n Sum of the n term = a n 55 9 n 0 Last term which is Tn = a +(n)d = a +(9)d 9=+9d d 3 Common difference=3 4. If all the sides of a parallelogram touch a circle, show that the parallelogram is a rhombus. 6 / 3
7 CBSEX00 EXAMINATION Given a parallelogram PQRS in which a circle is inscribed We know PQ=RS QR=PS DP=PA {tangents to the circle from external point have equal length} QA=BQ BR=RC DS=CS Adding above four equations DP+QA+BR+DS=PA+BQ+RC+CS (DP+DS)+(QA+BR)=(PA+QA)+(SR) QR=(PQ) PQ=QR PQ=QR=RS=QS PQRS is a rhombus 5. Without using trigonometric tables, find the value of the following expression sec(90 ).cosec tan (90  )cot + cos 5 cos 65 3tan7 tan63 Or Find the value of cosec 30, geometrically. 7 / 3
8 CBSEX00 EXAMINATION sec cos ec tan cot cos cos sin 65 cos 65 3tan 7.tan63 cos ec cot sin 90 5 cos 65 3tan 7.tan63 3cot 90 7 tan63 3cot 63 tan63 3 5)(or) A= B= C=60 0 Draw AD BC In ABD and ACD, AD=AD (common) ADB= ADC (90 0 ) AB=AC ( ABC is equalateral ) ABD ACD (RHS congruence criterion) BD=DC (C.P.C.t) BAD= CAD (C.P.C.t) BD= 0 a 60 =a and BAD= =300 In right ABD, 0 a sin30 a sin sin30 Sin 30 0 = BD AB cos ec 0 30 sin Perpendicular Hypotenuse Question Numbers 6 to 5 carry 3 marks each. 6. Prove that 3 5 is an irrational number. lets assume 3 5 is a rational number Section C 8 / 3
9 CBSEX00 EXAMINATION 3 p 3 5 q q p 3q p 5, where p,q are int egers pq 0 q 5 q p is a rational number but we also know 3q Rational ± irrational our assumption is wrong 3 5 is an irrational number 5 is an irrational 7. The sum of numerator and denominator of a fraction is 3 less than twice the denominator. If each of the numerator and denominator is decreased by, the fraction becomes. Find the fraction. Solve the following pair of equations 4 6 3y 8, 4y 5 x x lets say numerator=x Denominator=y Given x+y=y3 x y 3 0 From the next condition x y x y o Solving () and () X=4 Y=7 Or fraction= 4 7 7)(or) 4 3y 8 x 6 4y 5 x Multiplying 4 to () and 3 to () 9 / 3
10 CBSEX00 EXAMINATION 6 y 3 x 8 y 5 x 34 7 x x Substitute X in () +3y=8 3y=6 Y= x= Y= 8. In an A.P., the sum of first ten terms is 50 and the sum of its next ten terms is Find the A.P. sum of first ten terms =50 Sum of next ten terms =550 Lets say first term of A.P=a Common difference =d Sum of first ten terms = 0 a 9 d 50 5 a 9d a 9d 30 For sum of next ten terms the first term would be T =a+0d a 0 d 9 d 0 a 9d Solving () and () D=  4 A=3 A.P will be 3,,5,9,3,.. 9. In Fig. 3, ABC is a right triangle, right angled at C and D is the midpoint of BC. Prove that AB = 4AD  3AC. 0 / 3
11 CBSEX00 EXAMINATION Given that BD = CD AC BC In ABC AB =BC +AC AB =(BD+CD) +AC AB =(CD) +AC AB =4CD +AC () In ADC AD =CD +AC CD =AD AC Substituting CD in () AB =4AD 4AC +AC AB =4AD 3AC Hence proved 0. Prove the following: tan A cot A tan A cot A cot A tan A Prove the following: cosec A sin Asec A cos A tan A cot A OR / 3
12 CBSEX00 EXAMINATION Proved that tan A cot A tan A cot A  cot A  tan A tan A cot A L.H.S  cot A  tan A tan A cot A Þ  tan A  tan A  tan A cot A Þ  tan A  tan A tan A cot A tan tan A tan A tan A 3 tan A tan A tan A tan A tan A tan A tan A tan A cot A tan A Hence proved Proved that : (cosec A sin A) (sec A cos A)= tan A cot A LHS sin A cos A sin A cos A sin A cos A sin Acos A =sin A cos A Multiply & divide by OR / 3
13 CBSEX00 EXAMINATION sia cos A sin A tan A tan A tan A tan A tan A cot A Hence proved. Construct a triangle ABC in which BC = 8 cm, B = 45 and C = 30. Construct another triangle similar to ABC such that its sides are 3 4 of the corresponding sides of ABC. steps : ) Draw a ABC with BC =8cm, B=45 0 & C=30 0 ) Draw a ray BX making acute angle with BC on the opposite side of vertex A 3) mark four points B,B,B 3 B 4 on BX such that BB =B B =B B 3 =B 3 B 4 4) join B 4 toc and draw a line parallel to B 4 C from B 3 such it luts BC at C 5) form C draw another line parallel to AC such that it cuts AC at A. 6) A BC is the required triangle Tustification : 3 / 3
14 CBSEX00 EXAMINATION In ABC and A BC ABC = A BC ACB = A C B by AA criterion ABC ~ A BC AB BC AC A B BC A C In BB 4 C and BB 3 C B 4 C B 3 C BB 4 C ~ BB 3 C BC BB 4 BB 3 4 BC 3 AB BC AC 4 A B BC A C 3 3 AB 4 A B BC A C 3 BC 4 3 BC. 4. Point P divides the line segment joining the points A(, ) and B(5, 8) such that line x y + k = 0, find the value of k. AP. AB 3 If P lies on the Given : 4 / 3
15 CBSEX00 EXAMINATION AP AP PB AP AP : PB : AB 3 AP PB 3 by sec tion formula 5 8 P, 3 3 P 3, Also it is given that P lines on xy+k=0 3 k 0 k 4 3. If R(x, y) is a point on the line segment joining the points P(a, b) and Q(b, a), then prove that x + y = a + b. Since R(x,y) is a point on the line segment joining the point, (a,b) and Q(b,a) P(a,b),Q(b,a) and R(x,y) are the collinear. Area of PQR 0 Area of triangle whose vertices are x,y, x,y and x 3,y 3 is x y y x y y x y y a a y b y b x b a 0 a ay by b x b a yb a x b a 0 x yb a b ab a x y a b 4. In Fig; 4, the boundary of shaded region consists of four semicircular arcs, two smallest being equal. If diameter of the largest is 4 cm and that of the smallest is 3.5 cm, calculate the area of the shaded region. Use 7 Or 5 / 3
16 CBSEX00 EXAMINATION Find the area of the shaded region in Fig. 5, if AC = 4 cm, BC = 0 cm and O is the centre of the circle. [Use = 3.4] Given AB=4cm and AC =BD = 3.5cm DC 7cm Area of shaded region =Area of semicircle AB +Area of semicircle CD (Area of semicircle AC) Area of shaded region = 86.65cm 4 4 4)(or) AC=4cm, BC= 0cm AB / 3
17 CBSEX00 EXAMINATION AB=6cm Diameter of circle =6cm Area of shaded region =Area of semicircle Area of ABC cm 5. Cards bearing numbers, 3, 5, _, 35 are kept in a bag. A card is drawn at random from the bag. Find the probability of getting a card bearing (i) a prime number less than 5. (ii) a number divisible by 3 and 5. Total possible outcomes when a cord is drawn = 35 i) Total prime numbers from to 35 = probability that a prime numbered card is drawn = 35 ii) Total numbers between to 35 divisible by 3 and 5 = probability that when a card is drawn it has a number divisible by 3 &5 = 35 Section D Question Numbers 6 to 30 carry 6 marks each. 6. Three consecutive positive integers are such that the sum of the square of l the first and the product of the other two is 46. find the integers. Or The difference of squares of two numbers is 88. If the larger number is 5 less than twice the smaller number. then find the two numbers. Let the required three integers be x,x and x. Now, x x. x 46 x 5x 9 0 x x x x 46 x x 45 0 x 0x 9x 45 0 x x 5 9 x 5 0 x 5 or x.9 / So, x 5 because it is given that x is a positive int eger Thus, the required int egers are 5, i. e. 4,5 and 6. 6)(or) Let the smaller no. be x and larger no. be y Y  x =88..() 7 / 3
18 CBSEX00 EXAMINATION Y=x5 () In equation (x5) x =88 4x 0x+5x =88 3x 0x63=0 By splitting the middle term, 3x 7x+7x63=0 3x(x9)+7(x9) (x9)(3x+7) =>x=9 and x =7/3 Since no. cannot be negative therefore the nos. are smaller no. =9 And larger no. =x5 =85=3 7. Prove that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Using the above, prove the following If the areas of two similar triangles are equal, then prove that the triangles are congruent. proof : Given ABC ~ PQR A= P, B= Q, C= R AB BC AC PQ QR PR Ratio of areas of ABC & PQR will be ar ABC BC AD ar PQR QR PS In ABD & PQS B Q ADB PSQ 90 by AA similarity ABD PQS AB AD BD PQ PS QS From () and (3) we get / 3
19 CBSEX00 EXAMINATION AB BC CA AD PQ QR PR PS BC QR AD PS from and 4 4 ar ABC BC BC ar PQR QR.QR AB PQ ar ABC BC AB CA ar PQR QR PQ PR if ar ABC ar PQR then BC QR AC PR All corresponding sides equal in these similar triangles ABC PQR Triangle are congruent 8. From the top of a 7 m high building, the angle of elevation of the top of a tower is 60 and the angle of depression of the foot of the tower is 30. Find the height of the tower. Let Ab be the building and CD be the tower such that <EAD=60 0 and <EAC=<ACB =45 0 Now, in triangle ABC, tan 45 = =AB/BC So,Ab=AE=7m Again in triangle AED, Tan 60=root 3=DE/AE So, DE=AE root 3=7 root 3 m 9 / 3
20 CBSEX00 EXAMINATION h 7 3m Height of tower h mt 3 9. A milk container is made of metal sheet in the shape of frustum of a cone whose volume is cm 3. The radii of its lower and upper circular ends are 8 cm and 0 cm respectively. Find the cost of metal sheet used in making the container at the rate of Rs..40 per square centimeter. [Use ] 7 Or A toy is in the form of a hemisphere surmounted by a right circular cone of the same base radius as that of the hemisphere. If the radius of base of the cone is cm and its volume is 3 of the volume of the hemisphere, calculate the height of the cone and the surface area of the toy. [Use ] 7 Let the rad of lower end of the frustum be r=8 cm Let the rad of upper end of the frustum be R=0 cm Let the height of the frustum be h cm Volume of the frustum = h R r Rr Therefore substituting the value of R and r. 736 h h h h 6 cm 64 Total surface area of the container = 0 / 3
21 CBSEX00 EXAMINATION R r R r h r Cost of cm square metal sheet is. 40 Rs Cost of required sheet = Rs 7 OR Let the radius of base of the cone be r= cm Let the height of the cone be h cm Volume of the cone = /3 volume of the hemisphere 3 r h r h r 8 cm 3 3 Surface area of cone = lateral surface area of cone + curved surface area of sphere = r r h r cm 30. Find the mean, mode and median of the following frequency distribution: Class: Frequency: / 3
22 CBSEX00 EXAMINATION class f i Class F i x i mark(x i ) Ef i =50 Ef i x i =90 90 mean Class frequency cumulative frequency n = 45 n.5 Cumulative frequency greater than.5 is 3. Medium class m n c.f f her 40 n 45 c.f 0, f 3, f m] mediam mod e : Maximum frequency = so modal class / 3
23 CBSEX00 EXAMINATION fi fo mod e f f f here 40, h 0 i o f 0 f f 8 o i 0 mod e Mode = = / 3
MATHEMATICS. Time allowed : 3 hours Maximum Marks : 100 QUESTION PAPER CODE 30/1/1 SECTION  A
MATHEMATICS Time allowed : 3 hours Maximum Marks : 100 GENERAL INSTRUCTIONS : 1. All questions are compulsory 2. The question paper consists of 30 questions divided into four sections  A, B, C and D.
More information1 / 23
CBSEXII017 EXAMINATION CBSEX008 EXAMINATION MATHEMATICS Series: RLH/ Paper & Solution Code: 30//1 Time: 3 Hrs. Max. Marks: 80 General Instuctions : (i) All questions are compulsory. (ii) The question
More information1 / 23
CBSEXII07 EXAMINATION CBSEX009 EXAMINATION MATHEMATICS Series: HRL Paper & Solution Code: 0/ Time: Hrs. Max. Marks: 80 General Instuctions : (i) All questions are compulsory. (ii) The question paper
More informationSAMPLE QUESTION PAPER ClassX ( ) Mathematics. Time allowed: 3 Hours Max. Marks: 80
SAMPLE QUESTION PAPER ClassX (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 CLASS10 MARCH 2018
CBSE CLASS10 MARCH 2018 MATHEMATICS Time : 2.30 hrs QUESTION & ANSWER Marks : 80 General Instructions : i. All questions are compulsory ii. This question paper consists of 30 questions divided into four
More information[ClassX] MATHEMATICS SESSION:
[ClassX] MTHEMTICS SESSION:01718 Time allowed: 3 hrs. Maximum Marks : 80 General Instructions : (i) ll questions are compulsory. (ii) This question paper consists of 30 questions divided into four sections,
More informationCBSE Sample Question Paper 1 ( )
CBSE Sample Question Paper (078 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 informationMODEL QUESTION PAPERS WITH ANSWERS SET 1
MTHEMTICS MODEL QUESTION PPERS WITH NSWERS SET 1 Finish Line & Beyond CLSS X Time llowed: 3 Hrs Max. Marks : 80 General Instructions: (1) ll questions are compulsory. (2) The question paper consists of
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 informationClass X Mathematics Sample Question Paper Time allowed: 3 Hours Max. Marks: 80. SectionA
Class X Mathematics Sample Question Paper 089 Time allowed: Hours Max. Marks: 80 General Instructions:. All the questions are compulsory.. The questions paper consists of 0 questions divided into sections
More informationMarking Scheme. Mathematics Class X ( ) Section A
Marking Scheme Mathematics Class X (01718) Section A S.No. Answer Marks 1. Non terminating repeating decimal expansion.. k ±4 3. a 11 5 4. (0, 5) 5. 9 : 49 6. 5 Section B 7. LCM (p, q) a 3 b 3 HCF (p,
More informationQuestion 1 ( 1.0 marks) places of decimals? Solution: Now, on dividing by 2, we obtain =
Question 1 ( 1.0 marks) The decimal expansion of the rational number places of decimals? will terminate after how many The given expression i.e., can be rewritten as Now, on dividing 0.043 by 2, we obtain
More informationPaper: 02 ClassXMath: Summative Assessment  I
1 P a g e Paper: 02 ClassXMath: Summative Assessment  I Total marks of the paper: 90 Total time of the paper: 3.5 hrs Questions: 1] The relation connecting the measures of central tendencies is [Marks:1]
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 informationClass X Delhi Math Set3 Section A
Class X Delhi Math Set3 Section A 1. The angle of depression of a car, standing on the ground, from the top of a 75 m high tower, is 30. The distance of the car from the base of the tower (in m.) is:
More information(D) (A) Q.3 To which of the following circles, the line y x + 3 = 0 is normal at the point ? 2 (A) 2
CIRCLE [STRAIGHT OBJECTIVE TYPE] Q. The line x y + = 0 is tangent to the circle at the point (, 5) and the centre of the circles lies on x y = 4. The radius of the circle is (A) 3 5 (B) 5 3 (C) 5 (D) 5
More informationCBSE Board Class X Mathematics
CBSE Board Class X Mathematics Time: 3 hrs Total Marks: 80 General Instructions: 1. All questions are compulsory.. The question paper consists of 30 questions divided into four sections A, B, C, and D.
More information1 / 22
CBSEXII017 EXAMINATION MATHEMATICS Paper & Solution Time: 3 Hrs. Max. Marks: 90 General Instructions : (i) All questions are compulsory. (ii) The question paper consists of 31 questions divided into
More information1 / 24
CBSEXII017 EXAMINATION CBSEX01 EXAMINATION MATHEMATICS Paper & Solution Time: 3 Hrs. Max. Marks: 90 General Instuctions : 1. All questions are compulsory.. The question paper consists of 34 questions
More informationKENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION
KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 03 (201718) 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 informationKENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION
KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 08 (201718) 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 informationCBSE CLASS10 MARCH 2018
CBSE CLASS10 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 informationKENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD32. SECTION A Questions 1 to 6 carry 1 mark each.
KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD32 SAMPLE PAPER TEST 10 (201819) (SAMPLE ANSWERS) SUBJECT: MATHEMATICS MAX. MARKS : 80 CLASS : X DURATION : 3 HRS General Instruction: (i) All questions
More informationKENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32
KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 3 SAMPLE PAPER 06 (01819) 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 informationSAMPLE QUESTION PAPER ClassX ( ) Mathematics. Time allowed: 3 Hours Max. Marks: 80
SAMPLE QUESTION PAPER ClassX (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 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 informationCLASS X FORMULAE MATHS
Real numbers: Euclid s division lemma Given positive integers a and b, there exist whole numbers q and r satisfying a = bq + r, 0 r < b. Euclid s division algorithm: This is based on Euclid s division
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 informationCBSE CLASS X MATH SOLUTION Therefore, 0.6, 0.25 and 0.3 are greater than or equal to 0 and less than or equal to 1.
CBSE CLASS X MATH SOLUTION 011 Q1 The probability of an event is always greater than or equal to zero and less than or equal to one. Here, 3 5 = 0.6 5% = 5 100 = 0.5 Therefore, 0.6, 0.5 and 0.3 are greater
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 informationCBSE MATHEMATICS (SET2)_2019
CBSE 09 MATHEMATICS (SET) (Solutions). OC AB (AB is tangent to the smaller circle) In OBC a b CB CB a b CB a b AB CB (Perpendicular from the centre bisects the chord) AB a b. In PQS PQ 4 (By Pythagoras
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 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 (201819) (SAMPLE ANSWERS) SUBJECT: MATHEMATICS MAX. MARKS : 80 CLASS : X DURATION : 3 HRS General Instruction: (i) All questions
More informationKENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION
KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 04 (201718) 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 informationSAMPLE QUESTION PAPER Summative Assessment II ClassX ( ) Mathematics. Time Allowed: 3 Hours Max. Marks: 90
SAMPLE QUESTION PAPER Summative Assessment II ClassX (2016 17) Mathematics Time Allowed: 3 Hours Max. Marks: 90 General Instructions: 1. All questions are compulsory. 2. The question paper consists of31
More informationSAMPLE QUESTION PAPER MATHEMATICS
SAMPLE QUESTION PAPER 078 MATHEMATICS Time allowed : 3 hrs Maximum marks : 80 General Instructions : All questions are compulsory. The question paper consists of 30 questions divided into four sections
More informationIt is known that the length of the tangents drawn from an external point to a circle is equal.
CBSE MATHSSET 12014 Q1. The first three terms of an AP are 3y1, 3y+5 and 5y+1, respectively. We need to find the value of y. We know that if a, b and c are in AP, then: b a = c b 2b = a + c 2 (3y+5)
More informationKENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32
KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32 SAMPLE PAPER 03 (201819) 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 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 informationClass X Mathematics Sample Question Paper Time allowed: 3 Hours Max. Marks: 80. SectionA
Class X Mathematics Sample Question Paper 089 Time allowed: Hours Max. Marks: 80 General Instructions:. All the questions are compulsory.. The questions paper consists of 0 questions divided into sections
More informationPRE BOARD EXAMINATION CODE : E SESSION CLASS : X MAXIMUM MARKS: 80 SECTION A
PRE BOARD EXAMINATION CODE : E SESSION 017018 CLASS : X MAXIMUM MARKS: 80 SUBJECT : MATHEMATICS TIME : HOURS General Instructions: (i) All questions are compulsory. (ii) The question paper consists of
More informationBOARD QUESTION PAPER : MARCH 2016 GEOMETRY
BOARD QUESTION PAPER : MARCH 016 GEOMETRY Time : Hours Total Marks : 40 Note: (i) Solve All questions. Draw diagram wherever necessary. (ii) Use of calculator is not allowed. (iii) Diagram is essential
More informationKENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32
KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32 SAMPLE PAPER 05 (201819) 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 CLASS : X. Time: 3hrs Max. Marks: 90. 2) If a, 2 are three consecutive terms of an A.P., then the value of a.
1 SAMPLE PAPER 4 (SAII) MR AMIT. KV NANGALBHUR Mathematics CLASS : X Time: 3hrs Max. Marks: 90 General Instruction: 1. All questions are Compulsory. The question paper consists of 34 questions divided
More informationDESIGN OF THE QUESTION PAPER Mathematics Class X
SETI 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 informationBlue print Chapters 1mark 2marks 3marks 4marks total
PREBOARD SAMPLE PAPER 201819 CLASSX 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 informationKENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32
KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32 SAMPLE PAPER 02 (201819) 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 informationQUESTION BANK ON STRAIGHT LINE AND CIRCLE
QUESTION BANK ON STRAIGHT LINE AND CIRCLE Select the correct alternative : (Only one is correct) Q. If the lines x + y + = 0 ; 4x + y + 4 = 0 and x + αy + β = 0, where α + β =, are concurrent then α =,
More informationMT  w A.P. SET CODE MT  w  MATHEMATICS (71) GEOMETRY SET  A (E) Time : 2 Hours Preliminary Model Answer Paper Max.
.P. SET CODE.. Solve NY FIVE of the following : (i) ( BE) ( BD) ( BE) ( BD) BE D 6 9 MT  w 07 00  MT  w  MTHEMTICS (7) GEOMETRY (E) Time : Hours Preliminary Model nswer Paper Max. Marks : 40 [Triangles
More informationKENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION
KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 07 (01718) SUBJECT: MATHEMATICS(041) BLUE PRINT : CLASS X Unit Chapter VSA (1 mark) SA I ( marks) SA II (3 marks) LA (4 marks) Total Unit Total
More informationSOLUTIONS SECTION A [1] = 27(27 15)(27 25)(27 14) = 27(12)(2)(13) = cm. = s(s a)(s b)(s c)
1. (A) 1 1 1 11 1 + 6 6 5 30 5 5 5 5 6 = 6 6 SOLUTIONS SECTION A. (B) Let the angles be x and 3x respectively x+3x = 180 o (sum of angles on same side of transversal is 180 o ) x=36 0 So, larger angle=3x
More informationMT EDUCARE LTD. SUMMATIVE ASSESSMENT Roll No. Code No. 31/1
CBSE  X MT EDUCARE LTD. SUMMATIVE ASSESSMENT  034 Roll No. Code No. 3/ Series RLH Please check that this question paper contains 6 printed pages. Code number given on the right hand side of the question
More informationSURA's Guides for 3rd to 12th Std for all Subjects in TM & EM Available. MARCH Public Exam Question Paper with Answers MATHEMATICS
SURA's Guides for rd to 1th Std for all Subjects in TM & EM Available 10 th STD. MARCH  017 Public Exam Question Paper with Answers MATHEMATICS [Time Allowed : ½ Hrs.] [Maximum Marks : 100] SECTION 
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 information( )( ) PR PQ = QR. Mathematics Class X TOPPER SAMPLE PAPER1 SOLUTIONS. HCF x LCM = Product of the 2 numbers 126 x LCM = 252 x 378
Mathematics Class X TOPPER SAMPLE PAPER SOLUTIONS Ans HCF x LCM Product of the numbers 6 x LCM 5 x 378 LCM 756 ( Mark) Ans The zeroes are, 4 p( x) x + x 4 x 3x 4 ( Mark) Ans3 For intersecting lines: a
More informationKARNATAKA SECONDARY EDUCATION EXAMINATION BOARD, MALLESWARAM, BANGALORE G È.G È.G È.. Æ fioê, d È 2018 S. S. L. C. EXAMINATION, JUNE, 2018
CCE RR REVISED & UNREVISED O %lo ÆË v ÃO y Æ fio» flms ÿ,» fl Ê«fiÀ M, ÊMV fl 560 00 KARNATAKA SECONDARY EDUCATION EXAMINATION BOARD, MALLESWARAM, BANGALORE 560 00 G È.G È.G È.. Æ fioê, d È 08 S. S. L.
More informationPaper: 03 ClassXMath: Summative Assessment  I
1 P a g e Paper: 03 ClassXMath: Summative Assessment  I Total marks of the paper: 90 Total time of the paper: 3.5 hrs Questions: 1] Triangle ABC is similar to triangle DEF and their areas are 64 cm
More informationMathematics. Mock Paper. With. Blue Print of Original Paper. on Latest Pattern. Solution Visits:
10 th CBSE{SA I} Mathematics Mock Paper With Blue Print of Original Paper on Latest Pattern Solution Visits: www.pioneermathematics.com/latest_updates www.pioneermathematics.com S.C.O.  36, Sector 40
More informationKENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD32. SECTION A Questions 1 to 6 carry 1 mark each.
KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD32 SAMPLE PAPER TEST 05 (201819) (SAMPLE ANSWERS) SUBJECT: MATHEMATICS MAX. MARKS : 80 CLASS : X DURATION : 3 HRS SECTION A Questions 1 to 6 carry 1 mark
More informationKENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD32. SECTION A Questions 1 to 6 carry 1 mark each.
KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD32 SAMPLE PAPER TEST 03 (201819) (ANSWERS) SUBJECT: MATHEMATICS MAX. MARKS : 80 CLASS : X DURATION : 3 HRS General Instruction: (i) All questions are compulsory.
More informationTime: 3 Hrs. M.M. 90
Class: X Subject: Mathematics Topic: SA1 No. of Questions: 34 Time: 3 Hrs. M.M. 90 General Instructions: 1. All questions are compulsory. 2. The questions paper consists of 34 questions divided into four
More informationSAMPLE QUESTION PAPER 11 ClassX ( ) Mathematics
SAMPLE QUESTION PAPER 11 ClassX (2017 18) Mathematics GENERAL INSTRUCTIONS (i) All questions are compulsory. (ii) The question paper consists of 30 questions divided into four sections A, B,C and D. (iii)
More informationCBSE X Mathematics 2012 Solution (SET 1) Section D
Section D Q 9. A shopkeeper buys some books for Rs 80. If he had bought 4 more books for the same amount, each book would have cost Rs 1 less. Find the number of books he bought. Let the number of books
More informationMT  GEOMETRY  SEMI PRELIM  I : PAPER  4
07 00 MT A.. Attempt ANY FIVE of the following : (i) Slope of the line (m) 4 y intercept of the line (c) 0 By slope intercept form, The equation of the line is y m + c y (4) + (0) y 4 MT  GEOMETRY  SEMI
More informationMathematics Class X Board Paper 2011
Mathematics Class X Board Paper Solution Section  A (4 Marks) Soln.. (a). Here, p(x) = x + x kx + For (x) to be the factor of p(x) = x + x kx + P () = Thus, () + () k() + = 8 + 8  k + = k = Thus p(x)
More informationFIITJEE SUBJECT:MATHEMATICS (CBSE) CLASS 10 SOLUTION
FIITJEE SUBJECT:MTHEMTICS (CBSE) CLSS 10 SOLUTION 1. SECTION 99 551 44 55 44111 44 11 4 0 HCF of 55 and 99 is 11 11 55 441 11 55 (99 551) 11 55 99 55 11 55 99 So m =. cubic polynomial with zeros ,  and
More informationKENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32
KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32 SAMPLE PAPER 09 (201819) 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. IMPORTANT FORMULAE AND CONCEPTS for. Summative Assessment II. Revision CLASS X Prepared by
MATHEMATICS IMPORTANT FORMULAE AND CONCEPTS for Summative Assessment II Revision CLASS X 06 7 Prepared by M. S. KUMARSWAMY, TGT(MATHS) M. Sc. Gold Medallist (Elect.), B. Ed. Kendriya Vidyalaya GaCHiBOWli
More informationSAMPLE QUESTION PAPER 09 ClassX ( ) Mathematics
SAMPLE QUESTION PAPER 09 ClassX (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 informationSuppose E is the centre of the line joining the feet of the two towers i.e. BD.
CLASS X : MATH SOLUTIONS Q1. It is given that x =  1 is the solution of the quadratic equation 3x +kx3 = 0. 3 1 1 + k ( )  3 =0 3 4  k  3=0 k = 3 3 = 9 4 4 Hence, the value of k is 9 4 Q. Let AB
More informationCBSE CLASS X MATH
CBSE CLASS X MATH  2011 Q.1) Which of the following cannot be the probability of an event? A. 1.5 B. 3 5 C. 25% D. 0.3 Q.2 The midpoint of segment AB is the point P (0, 4). If the Coordinates of B are
More informationKARNATAKA SECONDARY EDUCATION EXAMINATION BOARD, MALLESWARAM, BANGALORE G È.G È.G È.. Æ fioê, d È 2018 S. S. L. C. EXAMINATION, JUNE, 2018
CCE PR REVISED & UNREVISED O %lo ÆË v ÃO y Æ fio» flms ÿ,» fl Ê«fiÀ M, ÊMV fl 560 00 KARNATAKA SECONDARY EDUCATION EXAMINATION BOARD, MALLESWARAM, BANGALORE 560 00 G È.G È.G È.. Æ fioê, d È 08 S. S. L.
More informationC.B.S.E Class X
SOLVE PPER with SE Marking Scheme..S.E. 08 lass X elhi & Outside elhi Set Mathematics Time : Hours Ma. Marks : 80 General Instructions : (i) ll questions in both the sections are compulsory. (ii) This
More informationMaharashtra State Board Class X Mathematics  Geometry Board Paper 2016 Solution
Maharashtra State Board Class X Mathematics  Geometry Board Paper 016 Solution 1. i. ΔDEF ΔMNK (given) A( DEF) DE A( MNK) MN A( DEF) 5 5 A( MNK) 6 6...(Areas of similar triangles) ii. ΔABC is 060 90
More informationChapter (Circle) * Circle  circle is locus of such points which are at equidistant from a fixed point in
Chapter  10 (Circle) Key Concept * Circle  circle is locus of such points which are at equidistant from a fixed point in a plane. * Concentric circle  Circle having same centre called concentric circle.
More information4) If ax 2 + bx + c = 0 has equal roots, then c is equal. b) b 2. a) b 2
Karapettai Nadar Boys Hr. Sec. School One Word Test No 1 Standard X Time: 20 Minutes Marks: (15 1 = 15) Answer all the 15 questions. Choose the orrect answer from the given four alternatives and write
More informationCBSE QUESTION PAPER CLASSX MATHS
CBSE QUESTION PAPER CLASSX 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 informationMATHEMATICS ( CANDIDATES WITH PRACTICALS/INTERNAL ASSESSMENT ) ( CANDIDATES WITHOUT PRACTICALS/INTERNAL ASSESSMENT )
Total No. of Printed Pages 6 X/3/M 0 3 MATHEMATICS ( CANDIDATES WITH PRACTICALS/INTERNAL ASSESSMENT ) Full Marks : 80 Pass Marks : 4 ( CANDIDATES WITHOUT PRACTICALS/INTERNAL ASSESSMENT ) Full Marks : 00
More informationICSE Solved Paper, 2018
ICSE Solved Paper, 018 ClassX 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 informationCBSE Board Class X Mathematics Board Paper 2015
CBSE Board Class X Mathematics Time: 3 hours Total Marks: 90 General Instructions: (i) All questions are compulsory. (ii) The question paper consists of 31 questions divided into four sections A, B, C
More informationICSE QUESTION PAPER Class X Maths (2016) Solution
ICSE QUESTION PAPER Class X Maths (016) Solution SECTION A 1. (a) Let f(x) x x kx 5 Using remainder theorem, f() 7 () () k() 5 7 (8) (4) k() 5 7 16 1 k 5 7 k 16 1 5 7 k 6 k 1 (b) A = 9A + MI A 9A mi...
More informationFull Question Paper Maths, X Class
Full Question Paper Maths, X Class Time: 3 Hrs MM: 80 Instructions: 1. All questions are compulsory. 2. The questions paper consists of 34 questions divided into four sections A,B,C and D. Section A comprises
More informationMT EDUCARE LTD. SUMMATIVE ASSESSMENT Roll No. Code No. 31/1
CBSE  X MT EDUCARE LTD. SUMMATIVE ASSESSMENT  034 Roll No. Code No. 3/ Series RLH Please check that this question paper contains 6 printed pages. Code number given on the right hand side of the question
More information= 9 4 = = = 8 2 = 4. Model Question paperi SECTIONA 1.C 2.D 3.C 4. C 5. A 6.D 7.B 8.C 9.B B 12.B 13.B 14.D 15.
www.rktuitioncentre.blogspot.in Page 1 of 8 Model Question paperi SECTIONA 1.C.D 3.C. C 5. A 6.D 7.B 8.C 9.B 10. 11.B 1.B 13.B 1.D 15.A SECTIONB 16. P a, b, c, Q g,, x, y, R {a, e, f, s} R\ P Q {a,
More informationCAREER POINT PRE FOUNDATION DIVISON CLASS9. IMO StageII Exam MATHEMATICS Date :
CAREER POINT PRE FOUNDATION DIVISON IMO StageII Exam.07 CLASS9 MATHEMATICS Date : 007 Q. In the given figure, PQR is a right angled triangle, right angled at Q. If QRST is a square on side QR and
More informationCONGRUENCE OF TRIANGLES
Congruence of Triangles 11 CONGRUENCE OF TRIANGLES You might have observed that leaves of different trees have different shapes, but leaves of the same tree have almost the same shape. Although they may
More informationSample Question Paper  I Mathematics  Class X. Time : Three hours Max.Marks :80 JSUNIL TUTORIAL
Sample Question Paper  I Mathematics  Class X Time : Three hours Max.Marks :80 General Instructions. 1. All Questions are compulsory. 2. The question paper consists of thirty questions divided into 4
More informationSAMPLE QUESTION PAPER CLASSX ( ) MATHEMATICS
SAMPLE QUESTION PAPER CLASSX (07 8) MATHEMATICS Time allowed: Hours Max. Marks:80 General Instructions: (i) All questions are comulsory. (ii) The question aer consists of 0 questions divided into four
More informationSolutions to RSPL/1. Mathematics 10
Solutions to RSPL/. It is given that 3 is a zero of f(x) x 3x + p. \ (x 3) is a factor of f(x). So, (3) 3(3) + p 0 8 9 + p 0 p 9 Thus, the polynomial is x 3x 9. Now, x 3x 9 x 6x + 3x 9 x(x 3) + 3(x 3)
More informationMaharashtra State Board Class X Mathematics Geometry Board Paper 2015 Solution. Time: 2 hours Total Marks: 40
Maharashtra State Board Class X Mathematics Geometry Board Paper 05 Solution Time: hours Total Marks: 40 Note: () Solve all questions. Draw diagrams wherever necessary. ()Use of calculator is not allowed.
More informationS MATHEMATICS (E) Subject Code VI Seat No. : Time : 2½ Hours
2018 VI 18 0230 Seat No. : Time : 2½ Hours MTHEMTIS (E) Subject ode S 0 2 1 Total No. of Questions : 8 (Printed Pages : 7) Maimum Marks : 80 INSTRUTIONS : i) nswer each main question on a fresh page. ii)
More informationCBSE Board Class X Summative Assessment II Mathematics
CBSE Board Class X Summative Assessment II Mathematics Board Question Paper 2014 Set 2 Time: 3 hrs Max. Marks: 90 Note: Please check that this question paper contains 15 printed pages. Code number given
More informationS.S.L.C.  MATHS BOOK BACK ONE MARK STUDY MATERIAL
1 S.S.L.C.  MATHS BOOK BACK ONE MARK STUDY MATERIAL DEAR STUDENTS, I have rearranged MATHSone mark book questions in the order based on value of the answer so that, you can understand easily Totally
More informationSUMMATIVE ASSESSMENT I, 2012 / MATHEMATICS. X / Class X
I, 0 SUMMATIVE ASSESSMENT I, 0 MA0 / MATHEMATICS X / Class X 90 Time allowed : hours Maximum Marks : 90 (i) (ii) 4 8 6 0 0 4 (iii) 8 (iv) (v) 4 General Instructions: (i) All questions are compulsory.
More information9 th CBSE Mega Test  II
9 th CBSE Mega Test  II Time: 3 hours Max. Marks: 90 General Instructions All questions are compulsory. The question paper consists of 34 questions divided into four sections A, B, C and D. Section A
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 informationMT  MATHEMATICS (71) GEOMETRY  PRELIM II  PAPER  6 (E)
04 00 Seat No. MT  MTHEMTIS (7) GEOMETRY  PRELIM II  (E) Time : Hours (Pages 3) Max. Marks : 40 Note : ll questions are compulsory. Use of calculator is not allowed. Q.. Solve NY FIVE of the following
More informationPRACTICE TEST 1 Math Level IC
SOLID VOLUME OTHER REFERENCE DATA Right circular cone L = cl V = volume L = lateral area r = radius c = circumference of base h = height l = slant height Sphere S = 4 r 2 V = volume r = radius S = surface
More informationUNIT I : NUMBER SYSTEMS
CLASS X First Term Marks : 80 UNITS MARKS I. NUMBER SYSTEMS 10 II. ALGEBRA 20 III. GEOMETRY 15 IV TRIGONOMETRY 20 V STATISTICS 15 TOTAL 80 UNIT I : NUMBER SYSTEMS 1. REAL NUMBERS (15) Periods Euclid's
More information