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CBSE Class 10 Pre Board 2020 : Mathematics Standard (Kendriya Vidyalaya (KV), Lucknow Region)

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Set 1 Total Pages : 2 KENDRIYA VIDYALAYA RRC FATEHGARH PREBOARD-I (2019-20) SUB: Mathematics Advance Time : 3 hour Q.1. CLASS : Max. Marks : General Instruction: 1. All questions are compulsory 2. The question paper consists of 40 questions divided into 4 sections, A, B, C, and D, section A comprises of 20 questions of Multiple choice questions of 1marks each. Section B comprises of 6 questions of 2marks each. Section C comprises of 8 questions of 3marks each and Section D comprises of 6 questions of 4 marks each. 3. Use of calculator is not permitted. SECTION A The product of HCF and LCM of 18 and 16 is (a) 240 (b) 144 ( c) 288 (d) 230 Q.2. Q.3. Show that x = - 4 is a solution of 3x2 + 13x + 4 = 0 Q.4. The value of 1 + tan2 A is equal to (a) 2 (b) sec2 A ( c) 1 (d) cot2 A How many tangents can a circle have____________ If a pair of linear equations is consistent, then the lines will be____________ A line intersecting a circle in two points is called a _____________ The graph of a polynomial P(x) cuts the x axis at two places and touches it at three places. Number of zeroes of P(x) is ____________ For what value of k, do the equation 3x y + 8 = 0 and 6x ky = - 16 represent coincident lines? Q.5. Q.6. Q.7. Q.8. Q.9. 1 2 Given sin A = and cos B = , then A + B is 900 . Write True or False. (a) Q.10. Q.12. Q.13 Q.15 Q.16 Q.17 Q.18 Q.19 Q.20 Q.21 Q.22 (b) 1 2 ( c) 2 3 2 (b) 3 2 (c) 2 3 (b) 2 1M 1M 1M 1M 1M 1M 1M 1M 1M (d) 2 1M (d) -2 The radius (in cm) of the largest right circular cone that can be cut out from a cube of edge 4.2 cm is (a) 4.2 (b) 2.1 (c) 8.2 (d) 1.05 Ratio of volume of two cylinders with equal height is: (a) H : h (b) R : r (c) R2 : r2 (d) None of these If the area of a square is same as the area of a circle, then the ratio of their perimeters in terms of is: (a) Q.14 1 2 The sum of zeroes of polynomial is 2x2 3x + 4 is (a) Q.11. 1 2 X 80 (c) 2 (d) 1M 1m 1M 3 If the radius of a circle is decreased by 50%. Then its area will be decrease by: (a) 25% (b) 50% (c) 75% (d) 60% Distance of the point P( 3, -4 ) from the origin is : (a) 10 (b) 3 (c) 34 (d) None of these If the distance between the points ( 3, 2 ) and ( -1, x ) is 5. Then x = ? (a) 3 (b) 4 (c) 6 (d) 5 th If the n term of an AP is ( 2n + 1 ), then the sum of its first three term is : (a) 6n +3 (b) 15 (c) 12 (d) 21 th 15 term of the AP, x 7, x 2, x + 3, . is : (a) x + 63 (b) x + 73 (c) x + 83 (d) x + 53 A boy goes 12 m due North and 5 m due West. How far is he from the starting point? (a) 17 m (b) 7 m (c) 13 m (d) 25 m If height of an equilateral triangle is 6 cm. then side of an equilateral triangle is : (a) 4 cm (b) 5 cm (c) 4 3 cm (d) 3 2 cm SECTION B Prove that the tangents, drawn at the ends of a diameter of a circle, are parallel. If tangents AB and AC, inclined to each other at an angle of 1200 are drawn to a circle with centre O of radius 6 cm, then find the length of each tangent. 1M 1M 1M 1M 1M 1M 1M 3M 3M Q.23. 3M In Fig. DE || OQ and DF || OR. Show that EF || QR. Q.24 Q.25 If Cot A = 17 , 18 (1+ )(1 ) evaluate (1+ )(1 ) . One year ago, a man was 8 times as old as his son. At present, his age is equal to the square of his son s age (in years). Find their present ages. 3M 3M

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