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Question
If one root of `5x^2+13x+k=0` be the reciprocal of the other root then the value of k is
`(a)0 (b)1 (c)2 (d)5`
Solution
Let the roots of the equation `-2/3` be α and `1/α `
∴ Product of the roots = `c/a`
⇒ `αxx1/α=k/5`
⇒ `a=k/5`
⇒ `k=5`
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