The roots of the equation ax2 + bx + c = 0 will be reciprocal if:  Choose the correct choice from the following answers.
A) a = b,	B) a = bc,	C) c = a,	D) c = b	E) c = ab.
Solution:   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,
<result>C</result>
The roots of the equation ax2 + bx + c = 0 will be reciprocal if: