Question

If one root of the equation 4x² − 2x + (λ − 4) = 0 be the reciprocal of the other, then λ =

(a) 8
(b) −8
(c) 4
(d) −4

Answer 1

Let be the roots of quadratic equation in such a way that

Here,

Then , according to question sum of the roots

And the product of the roots

Therefore, value of

Thus, the correct answer is