Question

If the roots of the equation a\({x}^{2}\) + bx + c = 0 are reciprocal to each other, then :

• A. a + c = 0
• B. b = 0
• C. a - c = 0
• D. None

Answer 1

The correct option is C

a - c = 0

Let α,β be the roots of the equation

Given α =$\frac{1}{\beta }$

αβ= 1

$\frac{c}{a}$=1

c=a

c-a=0