Question

The roots of the quadratic equation x/a = a/x are 

A) a, – a 

B) -a² , a²

C) -a, -a 

D) a, a

Answer 1

Correct option is (A) a, –a

Given equation is \(\frac{x}{a}=\frac{a}{x}\)

\(\Rightarrow x^2=a^2\)

\(\Rightarrow x=\pm a\)

Hence, x = a & x = -a are roots of given quadratic equation.

Answer 2

Correct option is A) a, – a