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If alpha , beta , gamma are the ro...

If ` alpha , beta , gamma ` are the roots of `x^3 -6x -4=0` then the equation whose roots are ` (beta gamma +(1)/( alpha)) ,(gamma alpha +(1)/(beta)) , (alpha beta +(1)/( gamma)) ` is

A

`4x^3 -30 x^2 +125 =0`

B

`x^3 +15x^2 -120=0`

C

`4x^3 +30 x^2 -125=0`

D

`4x^3 -30x^2 -125=0`

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The correct Answer is:
C
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AAKASH SERIES-THEORY OF EQUATIONS-EXERCISE-II
  1. Form the polynomial equation whose roots are cubes of the roots of x^...

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  2. If 1,2,3 are the roots of ax^3 +bx^2 + cx +d=0 then the roots...

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  3. If alpha , beta , gamma are the roots of x^3 -6x -4=0 then th...

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  4. If alpha , beta , gamma are the roots of x^3 + 4x +1 =0 then th...

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  5. If alpha , beta , gamma are the roots of the equation x^3 +px...

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  6. Remove the third term from the equation x^4 +2x^3 -12 x^2 +2x -1...

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  7. Number of transformed equations of x^3 +2x^2 +x+1=0 by eliminating...

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  8. The transformed equation x^3 -5/2 x^2 -(7)/(18 ) x+(1)/( 108 )...

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  9. The transformed equation with integer co-effcients whose roots ...

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  10. If the equation whose roots are p times the roots of x^4 +2x^...

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  11. Let alpha ne 1 be a real root of the equation x^(3) - ax^(2) + ax - 1 ...

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  12. Assertion (A) : If 1,2,3 are the roots of ax^3 + bx ^2 +cx +d=0 ...

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  13. Assertion (A) : if x^4 -x^3 -6x^2 +4x +8=0 has a multiple root ...

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  14. Assertion (A) : If alpha , beta, gamma are the roots of x^3 -x-...

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  15. Assertion (A ) : the number of roots of x^4 +2x^3 -7x^2 -8x +12=...

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  16. Assertion (A ) : the roots x^4 -5x^2 +6=0 are +- sqrt(2) ,+-sqrt...

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  17. For k gt 0 if k sqrt(-1) is a root of the equation x^4 + 6x^...

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  18. If the roots of the equation x^3 +3px^2 + 3qx -8=0 are in a...

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  19. If the roots of the equation x^(3) - 7x^(2) + 14x - 8 = 0 are in ...

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  20. If alpha , beta , gamma are the roots of x^3 +px^2 +qx +r=0 t...

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