Q. 304.6( 7 Votes )

# If one root of the equation 4x^{2} – 2x + (λ – 4) = 0 be the reciprocal of the other, then k

A. 8

B. – 8

C. 4

D. – 4

Answer :

Let α and β be the two roots of the given equation

4x^{2} – 2x + (λ – 4) = 0

According to the given condition

α = 1/β

Here a = 4, b = – 2 and c = (λ – 4)

α + β = 2/4 = 1/2

1/β + β = 1/2

α β =

β =

K = 8

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