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IF `alpha ,, beta ` are the roots of the equation `8x^2-3x+27=0` then the value of `((alpha ^2)/( beta))^(1//3) +((beta ^2)/(alpha ))^(1//3)` is

A

`(1)/(6)`

B

`(3)/(2)`

C

`(1)/(4)`

D

4

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The correct Answer is:
A
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AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-EXERCISE-II
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  3. IF alpha ,, beta are the roots of the equation 8x^2-3x+27=0 then...

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  5. If alpha , beta are the roots of x^2 + px +1=0 and gamma , d...

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  6. If alpha, beta are the roots of 3x^(2) + 5x - 7 = 0 then (1)/(3alpha+5...

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  7. Assertion (A) : If alpha, beta are the roots of ax^(2)+bx+c=0 then (...

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  8. If the difference between the roots of x^(2) + ax + 1 = 0 is Jess than...

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  9. The value of c for which |alpha^(2) -beta^(2)| = (7)/(4) where a and B...

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  10. If the sum of the roots of the equation x^(2)+px+q=0 is 3 times their ...

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  11. If the difference between the roots of x^(2) + ax + b = 0 is equal to ...

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  13. If tan^(2)theta, sin^(2)theta are the roots of ax^(2)+bx+c=0 then b^(2...

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  14. If the roots of ax^(2) + bx + c = 0 are 2, (3)/(2) then (a+b+c)^(2)

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  15. If alpha, beta are the roots of x^(2) + x + 3=0 then 5alpha+alpha^(4...

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