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If one root of the quadratic equation 3x...

If one root of the quadratic equation `3x^(2)-10x+k=0` is reciprocal of the other, find the value of `k`.

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
Let the roots of `3x^(2)-10x+k=0` be `alpha` and `(1)/(alpha).`
Then, product of roots `=(k)/(3).`
`:." "(alphaxx(1)/(alpha))=(k)/(3)implies(k)/(3)=1impliesk=3.`
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