# If one root of the equation 4x2 – 2x + (λ – 4) = 0 be the reciprocal of the other, then kA. 8B. – 8C. 4D. – 4

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

4x2 – 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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