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TERM-2 REVISION TEST 01, CLASS: X : MATHEMATICS, M.M. 30 Marks, 1., , 2., 3., 4., , 5., , SECTION – D(4 marks each), T.T. 1 hr, , SECTION – A (1 mark), Which of the following equations has 2 as a root?, (a) x2 – 4x + 5 = 0, (b) x2 + 3x – 12 = 0, (c) 2x2 – 7x + 6 = 0, (d) 3x2 – 6x – 2 = 0, The roots of the quadratic equation x2 – 0.04 = 0 are, (a) ± 0.2, (b) ± 0.02, (c) 0.4, (d) 2, 2, If D is the discriminant of the equation x + 2x – 4, then 2D is:, (a) 20, (b) 40, (c) 60, (d) 80, 2, For what value of k, the equation 9x – 24x + k = 0 has equal, roots?, (a) 12, (b) 16, (c) 18, (d) 20, 2, If ax + bx + c = 0 has equal roots, find the value of c., SECTION – B(2 marks each), , 6. Solve the equation: 3x 2  2 2 x  2 3  0, 7. Solve the quadratic equation 2x2 + ax – a2 = 0 for x using, quadratic formula., 8. Solve the quadratic equations: x (x + 9) = 52, 9. Find the value(s) of k for which the equation x2 + 5kx + 16 = 0, has real and equal roots., SECTION – C(3 marks each), 10. Find the value of p, for which one root of the quadratic equation, px2 – 14x + 8 = 0 is 6 times the other., 11. The sum of the squares of two consecutive odd numbers is 394., Find the numbers., 12. If the roots of the equation (a – b) x2 + (b – c) x + (c – a) = 0 are, equal, prove that 2a = b + c., , x  4 x  6 10, ,  ; x  5, 7, x5 x7 3, 14. A motorboat whose speed in still water is 18 km/h, takes 1 hour, more to go 24 km upstream than to return downstream to the, same spot. Find the speed of the stream., , 13. Solve for x: