Question

If the roots of the equation $a{x}^2+bx+c=0$ are reciprocal of each other , then

• A. a=b
• B. a=c
• C. b=c
• D. a=0

Answer 1

Answer: (B)

a=c

Let the roots are a, $\frac{1}{a}$

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