Q. 104.5( 13 Votes )

If one root of 5x2 + 13x + k = 0 be the reciprocal of the other root then the value of k is
A. 0

B. 1

C. 2

D. 5

Answer :

Let the roots of equation be than other root will be

Product of two roots =

Product of the roots =

For the given equation 5x2 + 13x + k = 0

a = 5 b = 13 c = k comparing with ax2 + bx + c = 0

Product of the roots

k = 5

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