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If 5p2 - 7p - 3 = 0 and 5q2 - 7q - 3 = 0, p ≠ q , then the equation whose roots are 5p– 4q and 5q – 4p is :(A) 5x2 + x - 439 = 0(B) 5x2 + 7x - 439 = 0(C) 5x2 - 7x - 439 = 0(D) 5x2 + 7x + 439 = 0 |
Answer» Correct option (C) 5x2 - 7x - 439 = 0 Explanation: Obviously p,q satisfy the equation 5x2 - 7x - 3 = 0. Hence p + q = 7/5, pq = -3/5 given α = 5p - 4q & β = 5q - 4p. The required equation x2 - (α + β) x + αβ = 0 5x2 + 7x - 439 = 0 |
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