Question

The value of k for which roots of the quadratic equation kx² + 2x + 3 = 0 are equal is ………………

A) 1/3

B) -3 

C) -1/3

D) 3

Answer 1

Correct option is (A) 1/3

Given quadratic equation is \(kx^2+2x+3=0\)

For equal roots, we have

\(2^2-4\times k\times 3=0\)

\(\Rightarrow\) 4 - 12k = 0

\(\Rightarrow\) 12k = 4

\(\Rightarrow k=\frac4{12}=\frac13\)

Answer 2

Correct option is A) 1/3