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Gokhale Memorial Girls' School CLASS X (2019-20) MATHEMATICS STANDARD (041) Time : 3 Hours Maximum Marks : 80 General Instructions : (i) (ii) (iii) (iv) (v) All questions are compulsory. The questions paper consists of 40 questions divided into four sections A, B, C and D. Section A comprises of 20 questions of 1 mark each. Section B comprises of 6 questions of 2 marks each. Section C comprises of 8 questions of 3 marks each. Section D comprises of 6 questions of 4 marks each. There is no overall choice. However, an internal choices have been provided in two questions of 1 mark each, two questions of 2 marks each, three questions of 3 marks each, and three questions of 4 marks each. You have to attempt only one of the alternatives in all such questions. Use of calculators is not permitted. SECTION A Q.1-Q.10 are multiple choice questions. Select the most appropriate answer from the given options. Q1. Q2. Q3. Q4. Q5. Q6. Q7. Q8. 1 2 If p1 and p2 are two odd prime numbers such that p1 > p2, then p 2 p 2 is (a) an even number (b) an odd number (c) an odd prime number (d) a prime number The points (7, 2) and ( 1, 0) lie on a line 1 is a root of the equation x2 + kx 5 = 0, then the value of k is If (a) 7y = 3x 7 (b) 4y = x + 1 2 4 (c) y = 7x + 7 (d) x = 4y + 1 (a) 2 (b) 2 1 (c) (d) 1 4 2 If the nth term of an A.P. is given by an = 5n 3, then the sum of first 10 terms if (a) 225 (b) 245 (c) 255 (d) 270 ar(TPRQ) It is given that TABC + TPQR with BC = 1 . Then is equal to 3 QR ar(TBCA) (a) 9 (b) 3 (c) 1 (d) 1 3 9 Ratio in which the line 3x + 4y = 7 divides the line joining the points (1, 2) and ( 2, 1) is (a) 3 : 5 (b) 4 segment :6 (c) 4 : 9 (d) None of these (cos4A sin4A) is equal to [1] [1] [1] [1] [1] [1] [1] (a) 1 2 cos2A (b) 2 sin2A 1 (c) sin2A cos2A (d) 2 cos2A 1 Two chords AB and CD of a circle intersect at E such that AE = 2.4 cm, BE = 3.2 cm and CE = 1.6 cm. The length of DE is (a) 1.6 cm (b) 3.2 cm (c) 4.8 cm (d) 6.4 cm [1] Page 1
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