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If alpha and beta are the zeros of the q...

If `alpha` and `beta` are the zeros of the quadratic polynomial `f(x)=6x^2+x-2`,find the value of `alpha/beta+beta/alpha` .

A

` (25)/12 `

B

` (-25)/11 `

C

` (-25)/12 `

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
`alpha +beta = (-1)/6 and alpha beta = (-2)/6 = (-1)/3.`
`:. (alpha/beta+beta/alpha) = ((alpha^(2)+beta^(2)))/(alpha beta) = ((alpha+beta)^(2) - 2 alpha beta)/(alpha beta) = ((1/36+2/3))/(((-1)/3))=(25/36xx3/(-1)) = (-25)/12.`
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