If one root of the quadratic equation `3x^(2)-10x+k=0` is reciprocal o – InterviewSolution

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