The roots of the equation ax2 + bx + c = 0 will be reciprocal if: Answers:
A) c = b B) c = 0 C) c = a D) c = U E) c = K
Let k be one of the root of the given equation.   According to the problem,   1/k will be the other root of the given equation.   We know that, product of the roots of the equation = c/a.   Therefore, k × 1/k = c/a.   or, 1 = c/a.   or, a = c [multiplying a on both sides].   The roots of the equation ax2 + bx + c = 0 will be reciprocal if a = c.   Therefore, a = c or c = a.   Answer: c = a
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The roots of the equation ax2 + bx + c = 0 will be reciprocal if: