InterviewSolution
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InterviewSolution
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If P and Q are the roots of f(x) = x2 - 14x + 45, then find the value of (1/P +1/Q)1. 45/142. 14/453. 41/544. 54/41 |
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Answer» Correct Answer - Option 2 : 14/45 GIVEN: f(x) = x2 - 14x + 45 FORMULA USED: Sum of roots = (-b/a) and Product of roots = c/a for f(x) = ax2 + bx + c CALCULATION: f(x) = x2 - 14x + 45 ⇒ a = 1, b = -14, c = 45 ⇒ Sum of roots(P + Q) = (-b/a) ⇒ 14 ⇒ Product of roots (PQ) = c/a ⇒ 45 ⇒ (1/P + 1/Q) = (P + Q)/PQ ⇒ 14/45 ∴ (1/P + 1/Q) = 14/45 |
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