1 / 23

Size: px
Start display at page:

Transcription

1 CBSE-XII-07 EXAMINATION CBSE-X-009 EXAMINATION MATHEMATICS Series: HRL Paper & Solution Code: 0/ Time: Hrs. Max. Marks: 80 General Instuctions : (i) All questions are compulsory. (ii) The question paper consists of 0 questions divided into four sections A, B, C and D. Section A comprises of ten questions of mark each, Section B comprises of five questions of marks each, Section C comprises of ten questions of 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 choke. However, an internal choice has been provided in one question of marks each, three questions of marks each and two questions of 6 marks each. You have to attempt only one of the alternatives in all such questions. (v) In question on construction, the drawings should be neat and exactly as per the given measurement. (vi) Use of calculators is not permitted. SECTION A Questions number to 0 carry mark each.. Find the ( HCF LCM ] for the numbers 00 and 90. Given two numbers 00 and 90 Product of 00 and 90 HCF LCM If is a zero of the polynomial p(x) = ax - (a - )x -, then find the value of a. If x = is the zero of the polynomial p x ax a x Then p() 0 a () ( a ) 0 a 0 a ( ) ( ). In LMN, L = 50 and N = 60. If LMN ~ PQR, then find Q. /

2 CBSE-X-009 EXAMINATION Given LMN ~ PQR In similar triangles, corresponding angles are equal. L P M Q x N R In LMN L M N 80 M M 70 Q If sec sec sin sin k, then find the value of k. sec ( sin )( sin ) k sec sin κ sec.cos κ cos k cos k 5. If the diameter of a semicircular protractor is 4 cm, then find its perimeter. Given diameter of semicircular protractor (AB) = 4cm d Perimeter of a semicircle d 4 Perimeter of protractor cm 6. Find the number of solutions of the following pair of linear equations : /

3 CBSE-X-009 EXAMINATION x + y 8 = 0 x + 4y = 6 xy 8 0 x 4y6 0 For any pair linear equations a x b y c 0 a x b y c 0 a b c, then a b c If There exists infinite solutions 8 Here a, b, c a b 4 c 6 a b c a b c Lines are coincident and will have infinite solutions. 7. Find the discriminant of the quadratic equation x 0x 0. x 0x 0 Discriminant for ax bx c 0 will be b For the given quadratic equation (0) 4( )( ) ac 8. If 4, a, are three consecutive terms of an A.P., then find the value of a. 5 Given 4, a, are in A.P. 5 4 a a 5 4 a 5 4 a 5 7 a 5 /

4 CBSE-X-009 EXAMINATION 9. In Figure, ABC is circumscribing a circle. Find the length of BC. Given BR = cm, AR = 4cm & AC = cm BP BR AR AQ CP CQ {Lengths of tangents to circle from external point will be equal} AQ 4 cm and BP cm As AC = cm QC + AQ = cm QC 7cm PC 7cm We know BC BP PC BC 7 BC 0cm 0. Two coins are tossed simultaneously. Find the probability of getting exactly one head. Two coins are tossed simultaneously Total possible outcomes { HH, HT, TH, TT} No. of total outcomes = /

5 CBSE-X-009 EXAMINATION Favourable outcomes for getting exactly One head = { Ht, TH } Probability = 4 Questions number to 5 carry marks each. SECTION B. Find all the zeroes of the polynomial x + x x 6, if two of its zeroes are and. x x x 6 0 Given two zeros are, Sum of all zeros = - Let the third zero be x x x All zeros will be,,. Which term of the A.P., 5, 7, 9,... will be 0 more than its st term? Given an A.P., 5, 7, 9, Lets say n th term is 0 more than st term T 0 T n a ( n ) d 0 ( a 0 d) ( n ) 0 0 n 0 n st term is 0 more than st term.. In Figure, ABD is a right triangle, right-angled at A and AC BD. Prove that AB = BC. BD. 5 /

6 CBSE-X-009 EXAMINATION In ABC AB AD BD In ABC AC BC AB In ACD AC CD AD...()...()...() Subtracting () from () AB AD BC CD Adding () and (4) AB BD BC CD...(4) AB BC CD BC CD AB BC CD BC. CD BC CD AB BC BC CD AB BC. BD ( ) 5 4. If cot, then evaluate ( sin )( sin ). 8 ( cos )( cos ) Find the value of tan 60, geometrically. 5 cot 8 ( sin )( sin ) ( sin ) ( cos)( cos ) ( cos ) cos sin cot 5 64 OR OR 6 /

7 CBSE-X-009 EXAMINATION Consider a right triangle with A 60, AC cm and AB = cm BC tan60 AC By Pythagoras theorem BC 4 BC tan60 5. If the points A (4, ) and B (x, 5) are on the circle with the centre O (, ), find the value of x. OA = OB (radii) OA ( 4) (0) OB x x ( ) ( 5) ( ) 4 ( x) 4 4 ( x) 4 x Questions number 6 to 5 carry marks each. 6. Prove that is an irrational number. Lets assume is a rational number p {p, q are integers and q 0} q SECTION C 7 /

8 CBSE-X-009 EXAMINATION p q p q q Pq is rational number but we know q Irrational rational is not a rational number. is an irrational. 7. Solve for x and y ax by a b b a ax by ab OR The sum of two numbers is 8. Determine the numbers if the sum of their. reciprocals is 8. 5 ax by a b. b a...() ax by ab...() Multiply () with b and subtract () from () a x y a b a by a b b a b a y a b a ya Substituting y = -a in () a b x ( a) a b b a a x a b x b x b and y a Lets assume numbers are x, y Given x y 8 x 8 y...() OR 8 /

9 CBSE-X-009 EXAMINATION 8 x y 5 x y xy 5 xy 5 xy 5 From () xy y(8 y) 5 y y y, 5 x 5, The numbers are and 5 8. The sum of first six terms of an arithmetic progression is 4. The ratio of its 0 th term to its 0 th term is :. Calculate the first and the thirteenth term of the A.P. Lets say first term of given A.P. = a Common difference = d Sum of first six terms = 4 6 a 5 d 4 a5d4...() Also given T0 : T0 : a 9d a 9d a 7d a 9d ad ad...() Substituting () in () a 5a 4 a and d T a d 4 T 6 9. Evaluate : 5 cosec 58 cot58tan tantan7tan45tan5tan77 5 cosec 58 cot58tan tantan7tan45tan /

10 CBSE-X-009 EXAMINATION cot58 tan(90 58 ) tan tan77 cot(90 77 ) cot tan5 cot(90 5 ) cot7 tan45 Substituting in the given expression 5 cosec 58 cot 58 5 cosec 58 cot Draw a right triangle in which sides (other than hypotenuse) are of lengths 8 cm and 6 cm. Then construct another triangle whose sides are 4 times the corresponding sides of the first triangle. Given ABC which is a right angled triangle B 90 Steps:. Draw line segment BC = 8cm, draw a ray BX making 90 with BC. Draw an arc with radius 6cm from B so that it cuts BX at A. Now join AC to form ABC 4. Draw a ray by making an acute angle with BC, opposite to vertex A 5. Locate 4 points B, B, B, B 4, on by such that BB = B B = B B = B B 4 6. Join B 4 C and now draw a line from B parallel to B 4 C so that it cuts BC at C 0 /

11 CBSE-X-009 EXAMINATION 7. From C draw a line parallel to AC and cuts AB at A 8. A' BC ' is the required triangle Justification: ABC and A' BC ' ABC A' BC ' (Common) ACB A' C ' B (Corresponding angles) By AA criterion ABC ~ A' BC ' AB BC AC A' B BC ' A' C ' BB C and BB C ' In 4 B C B C ' [By construction] 4 BB C 4 ~ BB C ' BB4 BC B4C BB BC ' B C ' BB4 4 We know that BB A' B BC ' A' C ' AB BC AC 4. In Figure, AD BC and BD = CD. Prove that CA = AB + BC OR In Figure 4, M is mid-point of side CD of a parallelogram ABCD. The line BM is drawn intersecting AC at L and AD produced at E. Prove that EL = BL. /

12 CBSE-X-009 EXAMINATION BD CD; BD CD BC CD BC 4 BD BC 4 In right ACD, AC = AD + CD () In right ABD, (Pythagoras Theorem) AB AD BD...() (Pythagoras Theorem) From () and (), we get AC = AB BD + CD BC BC AC AB 4 4 BC 9BC AC AB 6 6 9BC BC AC AB 6 8BC AC AB 6 BC AC AB AB BC AC /

13 CBSE-X-009 EXAMINATION OR In DME and CMD EDM MCB [Alternate angles] DM = CM [mis midpoint of CD] DME BMC [VOA] By ASA congruency DME CMB By CPCT BM = ME DE = BC Now in ALE and BLC ALE BLC LAE LCB By AA similarly ALE ~ BLC AE AL LE BC BL LC EL AE BL BC EL AD DE BL BC EL BC BC BL BC EL BL [VOA] [Alternate angles]. Find the ratio in which the point (, y) divides the line segment joining the points A (-, ) and B (, 7). Also find the value of y. Lets say ratio = m : n /

14 CBSE-X-009 EXAMINATION m n n 7m (, y), m n m n m n m n m n m n m: n 4 : 74 y 5 0 y 5 y 6 p(,6). Find the area of the quadrilateral ABCD whose vertices are A ( 4, ), B (, 6), C (, ) and D (, ). Joining AC Area of Quadrilateral ABCD ar( ABC ) ar( ADC) Area of triangle ABC = 4( 5 ( )) ( )( ( )) ( ( 5)) 4( 5 ) ( )( ) ( 5) [ 4( ) (0) ()] [ 0 9] []square units Area of triangle ADC = 4( ( )) ( ( )) ( ) 4 /

15 CBSE-X-009 EXAMINATION 4( ) ( ) ( ) 4(5) (0) ( 5) sq. units Area of quadrilateral (ABCD) = 8 sq.units 5 4. The area of an equilateral triangle is 49 cm. Taking each angular point as centre, circles are drawn with radius equal to half the length of the side of the triangle. Find the area of triangle not included in the circles. [Take =.7] OR Figure 5 shows a decorative block which is made of two solids a cube and a hemisphere. The base of the block is a cube with edge 5 cm and the hemisphere, fixed on the top, has a diameter of 4. cm. Find the total surface area of the block. [Take ] 7 Let be the side of equilateral triangle. a 49 ; 4 a 49*4; a= 7 * = 4 cm; Radius of circle = 4/ = 7 cm 5 /

16 CBSE-X-009 EXAMINATION Area of the first circle occupied by triangle = area of sector r *7 * * cm 80 Area of all the sectors = 77/ * = 77 cm Area of triangle not Included In the circle = area of triangle- area of all the sectors cm OR The total surface area of the cube = 6 (edge) = cm = 50 cm Note that the part of the cube where the hemisphere is attached is not Included in the surface area. So, the surface area of the block = TSA of cube base area of hemisphere + CSA of hemisphere 50 r r (50 r ) cm cm cm cm 6.86 cm 5. Two dice are thrown simultaneously. What is the probability that (i) 5 will not come up on either of them? (ii) 5 will come up on at least one? (iii) 5 will come up at both dice? Total outcomes = (i). Total outcomes when 5 comes up on either dice are (5, ) (5, ) (5, ) (5, 4) (5, 5) (5, 6) (6, 5) (4, 5) (, 5) (, 5) (, 5) P (5 will come up on either time) 6 P (5 will not come up) = (ii) P (5 will come at least once) = 6 (iii) P (5 will come up on both dice = 6 ) Questions number 6 to 0 carry 6 marks each. SECTION D 6 /

17 CBSE-X-009 EXAMINATION 6. Solve the following equation for x : 9x 9 (a + b) x + (a + 5ab + b ) = 0 OR If (-5) is a root of the quadratic equation x + px 5 = 0 and the quadratic equation p (x + x) + k = 0 has equal roots, then find the values of p and k. 9x 9( a b) x (a 5ab b ) 0 Discriminant D 8( a b) 6 a 5ab b D 9 9a 9b 8ab 8a 8b 0ab D 9 a b ab D 9( a b) 9( a b) 9( a b) x 9 9( a b) ( a b) x 8 a b a b a b a b x, 6 6 a b a b x ; -5 is root of x + 9x 5 =0 ( 5) p( 5) p 0 p 7 p(x + x) + k = 0 has equal roots 7x + 7x + k = 0 [as we know p =7] Discriminant = 0 D49 8k 8k 49 k 7 4 OR 7. Prove that the lengths of the tangents drawn from an external point to a circle are equal. Using the above theorem prove that: If quadrilateral ABCD is circumscribing a circle, then AB + CD = AD + BC. PT and TQ are two tangent drawn from an external pant T to the circle C (O, r) 7 /

18 CBSE-X-009 EXAMINATION To prove:. PT = TQ. OTP = OTQ Construction Join OT Proof: We know that, a tangent to circle is perpendicular to the radius through the point of contact OPT = OQT = 90 In OPT and OQT OT = OT (Common) OP = OQ (Radius of the circle) OPT = OQT (90 ) OPT OQT (RHS congruence criterion) PT = TQ and OTP = OTQ (CPCT) PT = TQ The lengths of the tangents drawn from an external point to a circle are equal. OTP = OTQ Centre lies on the bisector of the angle between the two tangents. Let AB touches the circle at P.BC touches the circle at Q.DC touches the circle at R.AD. touches the circle at S THEN, PB = QB ( Length of the tangents drawn from the external point are always equal) QC =RC' AP : AS DS = DP NOW, AB + CD = AP + PB+DR+RC = AS+QB+DS+CQ = AS + DS + OB + CQ 8 /

19 CBSE-X-009 EXAMINATION = AD + BC HENCE PROVED 8. An aeroplane when flying at a height of 5 m from the ground passes vertically below another plane at an instant when the angles of elevation of the two planes from the same point on the ground are 0 and 60 respectively. Find the distance between the two planes at that instant. Let the distance between the two planes = h m Given that: AD = 5 m and ABC 60 ABD 0 In ABD AD tan0 AB 5 AB AB 5...() ABC AC tan60 AB AD DC AB 5 h AB 5 h AB...() Equating equation () and (), we have 9 /

20 CBSE-X-009 EXAMINATION 5 h 5 h 5 5 h 650 Hence, distance between the two planes is 650 m. 9. A juice seller serves his customers using a glass as shown in Figure 6. The inner diameter of the cylindrical glass is 5 cm, but the bottom of the glass has a hemispherical portion raised which reduces the capacity of the glass. If the height of the glass is 0 cm, find the apparent capacity of the glass and its actual capacity. (Use =.4) OR A cylindrical vessel with internal diameter 0 cm and height 0.5 cm is full of water. A solid cone of base diameter 7 cm and height 6 cm is completely immersed in water. Find the volume of (i) water displaced out of the cylindrical vessel. (ii) water left in the cylindrical vessel. [Take ] 7 Apparent capacity of the glass = Volume of cylinder Actual capacity of the glass = Volume of cylinder Volume of hemisphere Volume of the cylindrical glass =.4 (.5) cm rh 0 /

21 CBSE-X-009 EXAMINATION Volume of hemisphere r (.5).7 cm Apparent capacity of the glass = Volume of cylinder = 96.5 cm Actual capacity of the glass = Total volume of cylinder volume of hemisphere = = 6.54cm Hence, apparent capacity = 96.5cm Actual capacity of the glass = 6.54cm 9. OR Given, internal diameter of the cylinder =0 cm Internal radius of the cylinder = 5cm and height of the cylinder = 0.5 cm Similarly, diameter of the cone = 7 cm radius of the cone =.5 cm and Height of the cone = 6cm i) Volume of water displaced out of cyindrical vessel = volume of cone rh cm 7 ii) Volume of water left In the cylindrical vessel = volume of cylinder - volume of cone RHVolume of cone = = =748cm 0. During the medical check-up of 5 students of a class their weights were recorded as follows: Weight (in Number of students kg) /

22 CBSE-X-009 EXAMINATION Draw a less than type and a more than type ogive from the given data. Hence obtain the median weight from the graph. Weight cumulative (more than type) More than 8 5 More than 40 More than 4 0 More than 44 6 More than 46 More than 48 7 More than 50 More than 5 0 Weight (in kg) Upper class limits Number of students (cumulative frequency) Less than 8 0 Less than 40 Less than 4 5 Less than 44 9 Less than 46 4 Less than 48 8 Less than 50 More than 5 5 Taking upper class limits on x-axis and their respective cumulative frequency on y-axis its give can be drawn as follows: Here, n = 5 So, /

23 CBSE-X-009 EXAMINATION n = 7.5 Mark the point A whose ordinate is 7.5 and its x-coordinate is Therefore, median of this data is It can be observed that the difference between two consecutive upper class limits is. The class marks with their respective frequencies are obtained as below: Weight (In kg) Frequency (f) Cumulative, frequency Less than = = = = = = = 5 Total (n) 5 The Cumulative frequency just greater than n 5 ie.., 7.5 is 8. Belonging to class interval Medan class = Lower class lima (l) of median class = 46 Frequency (f) of median class = 4 Cumulative frequency (cf) of class preceding median class = 4 Class size (h) = n cf Median l h f =46.5 Therefore, median of this data is 46.5 Hence, the value of median is verified. /

1 / 23

CBSE-XII-017 EXAMINATION CBSE-X-008 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

CBSE CLASS-10 MARCH 2018

CBSE CLASS-10 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

1 / 24

CBSE-XII-017 EXAMINATION CBSE-X-01 EXAMINATION MATHEMATICS Paper & Solution Time: 3 Hrs. Max. Marks: 90 General Instuctions : 1. All questions are compulsory.. The question paper consists of 34 questions

1 / 22

CBSE-XII-017 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

1 / 23

CBSE-XII-07 EXAMINATION CBSE-X-00 EXAMINATION MATHEMATICS Series: LRH/ Paper & Solution Code: 30// Time: 3 Hrs. Max. Marks: 80 General Instuctions : (i) All questions are compulsory. (ii) The question

CBSE 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

[Class-X] MATHEMATICS SESSION:

[Class-X] MTHEMTICS SESSION:017-18 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,

CBSE 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

SAMPLE 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

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.

(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

It is known that the length of the tangents drawn from an external point to a circle is equal.

CBSE -MATHS-SET 1-2014 Q1. The first three terms of an AP are 3y-1, 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)

DESIGN 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

CBSE MATHEMATICS (SET-2)_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

Question 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

CBSE 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

SAMPLE 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

CBSE 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.

CBSE 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

MODEL 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

CBSE 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

Mathematics 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

MATHEMATICS ( 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

( )( ) PR PQ = QR. Mathematics Class X TOPPER SAMPLE PAPER-1 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

2. 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

9 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

1. 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,

KENDRIYA 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

CLASS 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

SURA'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 -

SAMPLE QUESTION PAPER 11 Class-X ( ) Mathematics

SAMPLE QUESTION PAPER 11 Class-X (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)

Class X Delhi Math Set-3 Section A

Class X Delhi Math Set-3 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:

Paper: 02 Class-X-Math: Summative Assessment - I

1 P a g e Paper: 02 Class-X-Math: 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]

CBSE 10th Mathematics 2016 Solved Paper All India

Perfect solution to all problems Tips, Tricks, General Knowledge, Current Affairs, Latest Sample, Previous Year, Practice Papers with solutions. CBSE 10th Mathematics 2016 Solved Paper All India Download

Udaan School Of Mathematics Class X Chapter 10 Circles Maths

Exercise 10.1 1. Fill in the blanks (i) The common point of tangent and the circle is called point of contact. (ii) A circle may have two parallel tangents. (iii) A tangent to a circle intersects it in

KENDRIYA 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 03 (2018-19) (ANSWERS) SUBJECT: MATHEMATICS MAX. MARKS : 80 CLASS : X DURATION : 3 HRS General Instruction: (i) All questions are compulsory.

SAMPLE 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

QUESTION 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 =,

CBSE X Mathematics 2012 Solution (SET 1) Section B

CBSE X Mathematics 01 Solution (SET 1) Section B Q11. Find the value(s) of k so that the quadratic equation x kx + k = 0 has equal roots. Given equation is x kx k 0 For the given equation to have equal

SAMPLE 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

MATHEMATICS. 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

TOPPER SAMPLE PAPER 3 Summative Assessment-II MATHEMATICS CLASS X

TOPPER SAMPLE PAPER 3 Summative Assessment-II MATHEMATICS CLASS X M.M: 80 TIME : 3-3 2 Hrs. GENERAL INSTRUCTIONS :. All questions are compulsory. 2. The question paper consists of 34 questions divided

General Instructions:

CBSE Board Class X Summative Assessment II Mathematics Board Question Paper 016 Time: 3 hrs General Instructions: Max. Marks:90 (i) All questions are compulsory. (ii) The question paper consists of 31

KENDRIYA 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

CBSE 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 mid-point of segment AB is the point P (0, 4). If the Coordinates of B are

KENDRIYA 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 10 (2018-19) (SAMPLE ANSWERS) SUBJECT: MATHEMATICS MAX. MARKS : 80 CLASS : X DURATION : 3 HRS General Instruction: (i) All questions

Mathematics. 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

QUESTION 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

BOARD 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

Total number of printed pages : MATHEMATICS

Total number of printed pages : 6 Total marks : 80 016 MATHEMATICS NB-T/M Time : 3 hours General Instructions: i) Approximately 15 minutes is allotted to read the question paper and revise the answers.

KARNATAKA 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 & UN-REVISED 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.

Blue 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

KENDRIYA 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

Time: 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

SAMPLE QUESTION PAPER MATHEMATICS

SAMPLE QUESTION PAPER 07-8 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

KENDRIYA 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

MATHS X STD. Try, try and try again you will succeed atlast. P.THIRU KUMARESA KANI M.A., M.Sc.,B.Ed., (Maths)

MATHS X STD Try, try and try again you will succeed atlast P.THIRU KUMARESA KANI M.A., M.Sc.,B.Ed., (Maths) Govt.Girls High School,Konganapuram Salem (Dt.) Cell No. 9003450850 Email : kanisivasankari@gmail.com

LLT Education Services

8. The length of a tangent from a point A at distance 5 cm from the centre of the circle is 4 cm. Find the radius of the circle. (a) 4 cm (b) 3 cm (c) 6 cm (d) 5 cm 9. From a point P, 10 cm away from the

Class X Mathematics Sample Question Paper Time allowed: 3 Hours Max. Marks: 80. Section-A

Class X Mathematics Sample Question Paper 08-9 Time allowed: Hours Max. Marks: 80 General Instructions:. All the questions are compulsory.. The questions paper consists of 0 questions divided into sections

MT EDUCARE LTD. SUMMATIVE ASSESSMENT Roll No. Code No. 31/1

CBSE - X MT EDUCARE LTD. SUMMATIVE ASSESSMENT - 03-4 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

Maharashtra Board Class X Mathematics - Geometry Board Paper 2014 Solution. Time: 2 hours Total Marks: 40

Maharashtra Board Class X Mathematics - Geometry Board Paper 04 Solution Time: hours Total Marks: 40 Note: - () All questions are compulsory. () Use of calculator is not allowed.. i. Ratio of the areas

MATHEMATICS ( 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

Page 1 of 15. Website: Mobile:

Exercise 10.2 Question 1: From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm. The radius of the circle is (A) 7 cm (B) 12 cm (C) 15 cm (D) 24.5

PRE BOARD EXAMINATION CODE : E SESSION CLASS : X MAXIMUM MARKS: 80 SECTION A

PRE BOARD EXAMINATION CODE : E SESSION 017-018 CLASS : X MAXIMUM MARKS: 80 SUBJECT : MATHEMATICS TIME : HOURS General Instructions: (i) All questions are compulsory. (ii) The question paper consists of

CBSE 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

Q.1 If a, b, c are distinct positive real in H.P., then the value of the expression, (A) 1 (B) 2 (C) 3 (D) 4. (A) 2 (B) 5/2 (C) 3 (D) none of these

Q. If a, b, c are distinct positive real in H.P., then the value of the expression, b a b c + is equal to b a b c () (C) (D) 4 Q. In a triangle BC, (b + c) = a bc where is the circumradius of the triangle.

Suppose 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 +kx-3 = 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

= 9 4 = = = 8 2 = 4. Model Question paper-i SECTION-A 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 paper-i SECTION-A 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 SECTION-B 16. P a, b, c, Q g,, x, y, R {a, e, f, s} R\ P Q {a,

KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION

KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 07 (017-18) 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

6 CHAPTER. Triangles. A plane figure bounded by three line segments is called a triangle.

6 CHAPTER We are Starting from a Point but want to Make it a Circle of Infinite Radius A plane figure bounded by three line segments is called a triangle We denote a triangle by the symbol In fig ABC has

KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION

KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 01 (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

VAISHALI EDUCATION POINT (QUALITY EDUCATION PROVIDER)

BY:Prof. RAHUL MISHRA Class :- X QNo. VAISHALI EDUCATION POINT (QUALITY EDUCATION PROVIDER) CIRCLES Subject :- Maths General Instructions Questions M:9999907099,9818932244 1 In the adjoining figures, PQ

KARNATAKA 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 & UN-REVISED 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.

SOLUTIONS 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

MT EDUCARE LTD. SUMMATIVE ASSESSMENT Roll No. Code No. 31/1

CBSE - X MT EDUCARE LTD. SUMMATIVE ASSESSMENT - 03-4 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

Kendriya 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

Summative Assesment-II TOPPER SAMPLE PAPER II MATHEMATICS CLASS X

Summative Assesment-II TOPPER SAMPLE PAPER II MATHEMATICS CLASS X MM 80 TIME : 3-3 / hrs. GENERAL INSTRUCTIONS:. All questions are compulsory.. The question paper is divided into four sections Section

Model Answer Paper 24(24 1) 2 12

ICSE X SUBJECT : MATHEMATICS Marks : 80 Exam No. : MT/ICSE/Semi Prelim II- Set-B-00 Model Answer Paper Time : ½ hrs. SECTION I (40 Marks) A. (a) Maturity value ` 0,000 No. of months (n) 4 months Rate of

Important Instructions for the School Principal. (Not to be printed with the question paper)

Important Instructions for the School Principal (Not to be printed with the question paper) 1) This question paper is strictly meant for use in school based SA-II, March-2012 only. This question paper

CBSE QUESTION PAPER CLASS-X MATHS

CBSE QUESTION PAPER CLASS-X MATHS SECTION - A Question 1: In figure, AB = 5 3 cm, DC = 4cm, BD = 3cm, then tan θ is (a) (b) (c) (d) 1 3 2 3 4 3 5 3 Question 2: In figure, what values of x will make DE

Marking Scheme. Mathematics Class X ( ) Section A

Marking Scheme Mathematics Class X (017-18) 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,

MATHEMATICS FORMULAE AND CONCEPTS. for CLASS X CHAPTER WISE IMPORTANT FORMULAS & CONCEPTS, Prepared by

MATHEMATICS FORMULAE AND CONCEPTS for CLASS X 017 18 CHAPTER WISE IMPORTANT FORMULAS & CONCEPTS, Prepared by M. S. KUMARSWAMY, TGT(MATHS) M. Sc. Gold Medallist (Elect.), B. Ed. Kendriya Vidyalaya GaCHiBOWli

KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32

KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32 SAMPLE PAPER 05 (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

Individual Events 1 I2 x 0 I3 a. Group Events. G8 V 1 G9 A 9 G10 a 4 4 B

Answers: (99-95 HKMO Final Events) Created by: Mr. Francis Hung Last updated: July 08 I a Individual Events I x 0 I3 a I r 3 I5 a b 3 y 3 b 8 s b c 3 z c t 5 c d w d 0 u d 6 3 6 G6 a 5 G7 a Group Events

KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION

KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 04 (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

X- 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

CBSE 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

Paper: 03 Class-X-Math: Summative Assessment - I

1 P a g e Paper: 03 Class-X-Math: 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

KENDRIYA 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

KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION

KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 02 F PERIODIC TEST III EXAM (2017-18) SUBJECT: MATHEMATICS(041) BLUE PRINT : CLASS IX Unit Chapter VSA (1 mark) SA I (2 marks) SA II (3 marks)

X- MATHS IMPORTANT FORMULAS SELF EVALUVATION

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

Maharashtra 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 0-60 -90

CBSE 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

CO-ORDINATE GEOMETRY. 1. Find the points on the y axis whose distances from the points (6, 7) and (4,-3) are in the. ratio 1:2.

UNIT- CO-ORDINATE GEOMETRY Mathematics is the tool specially suited for dealing with abstract concepts of any ind and there is no limit to its power in this field.. Find the points on the y axis whose

CAREER POINT PRE FOUNDATION DIVISON CLASS-9. IMO Stage-II Exam MATHEMATICS Date :

CAREER POINT PRE FOUNDATION DIVISON IMO Stage-II Exam.-07 CLASS-9 MATHEMATICS Date : -0-07 Q. In the given figure, PQR is a right angled triangle, right angled at Q. If QRST is a square on side QR and

FIITJEE 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

PADASALAI CENTUM COACHING TEAM 10 TH MATHS FULL PORTION ONE MARKS ONLY

PADASALAI CENTUM COACHING TEAM 10 TH MATHS FULL PORTION ONE MARKS ONLY CHOOSE THE CORRECT ANSWER 100 X 1 = 100 1. If ACB, then A is (a) B (b) A \ B (c) A (d) B \ A 2. If n(a) = 20, n(b) = 30 and n(aub)