Question

The roots of $a{x}^2+x+1=0$, where $a\ne 0$ , are in the ratio $1:1$. Then a is equal to

• A. 1/4
• B. 1/2
• C. 3/4
• D. 1
• E. 0

Answer 1

Answer: (A)

We have,
$a{x}^2+x+1=0$
Since, roots are in the ratio $1:1$, thus roots are equal.
$\therefore$ Discriminant $=0$
$\Rightarrow (1{)}^2-4(a)(1)=0$
$\Rightarrow 1-4a=0$
$\Rightarrow a=\frac{1}{4}$