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

If ` alpha , beta , gamma ` are the roots of ` x^3 -7x + 6 =0` the equation whose roots are ` alpha + beta , beta + gamma , gamma + alpha ` is

A

`x^3 +7x +6=0`

B

`x^3 + 7x -6=0`

C

`x^3 -7x -12=0`

D

`x^3 -7x -6=0`

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The correct Answer is:
D
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AAKASH SERIES-THEORY OF EQUATIONS-EXERCISE-III
  1. If alpha , beta , gamma are the roots of the equation x^3 +4x^...

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  2. If alpha , beta , gamma are the roots of x^3 + 2x^2 + 3x +8=0 ...

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  3. If alpha , beta , gamma are the roots of x^3 -7x + 6 =0 the ...

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

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  5. The equation whose roots are squares of the roots of x^3 + 2...

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  6. The equation whose roots are cubes of the roots x^3 +2x^2 +3=0...

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  7. If f(x) =x^3 +x^2 +x+1 then the coefficient of x in f(x+5) i...

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  8. The equation whose roots are opposite in sign and equal to magn...

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  9. To remove the 2^( nd ) term of the equation x^4 - 8x^3 + x^2...

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  10. The transformed equation of x^3 -6x^2 +5x +8=0 by eliinatin second...

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  11. If the roots of ax^(3) + bx^2 + cx + d=0 are in G.P then the ...

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  12. If 2,5,7,-4 are the roots of ax^4 + bx^3 + cx^2 + dx +e=0 then...

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  13. If the roots of ax^3 + bx^2 + cx +d=0 are in G.P then the ro...

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  14. If the roots of ax^3 + bx^2 + cx +d=0 are in A.P then the roots...

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  15. solve x^5-5x^4+9x^3-9x^2+5x-1=0

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  16. The equation x^6 - 2x ^5 + 3x^4 -3x ^2 +2x -1=0 is R.E . Of t...

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  17. The equation 6x ^5 + 7x^4 +12x^3+ 12x^2 + 7x +6=0 is a recipr...

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  18. Assertion (A ) : The equation whose roots are the squeares of...

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  19. Assertion (A ) : the equation whose roots are exceed by 2 t...

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  20. Assertion (A ) : the equation whose roos are multipled of by ...

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