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

If ` alpha , beta , gamma ` are the roots of `x^3 + 3x^2 -4x +2=0` then the equation whose roots are `(1)/( alpha beta) ,(1)/( beta gamma) ,(1)/( gamma alpha)` is

A

`4x^3 -6x^2 +4x +1=0`

B

`4x^3 +6x^2 -4x -1=0`

C

`4x^3 +6x^2 -4x +1=0`

D

`4x^3 -6x^2 -4x -1=0`

Text Solution

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

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  2. If alpha , beta , gamma are the roots of x^3 +2x^2 -3x -1=0 the...

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  3. If f(x) =x^4 + 3x ^2 - 6x -2 then the coefficient of x^3 in ...

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  4. The equation whose roots are multiplied by 3 of those of 2x^(3) - 3x^...

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

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  6. The equation whose roots are those of equation x^4 - 3x^3 +5x...

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

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  8. If alpha , beta , gamma are the roots of x^3 + 3x^2 -4x +2=0 t...

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  9. to remove the 2^(nd) term of the equation x^4 -10 x^3 +35 x^2 -5...

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  10. The transformed equation of x^(4) + 8x^(3) + x - 5 = 0 by eliminating ...

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  11. Each of the roots of the equation x^(3) - 6x^(2) + 6x - 5 = 0 are incr...

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  12. If the roots of x^4 +5x^3 - 30 x^2 - 40 x+64=0 are in G.P then...

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  13. If 1, -2, 3 are the roots of ax^(3) + bx^(2) + cx + d = 0 then the roo...

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

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  15. If 1,3,4,0 are the roots of ax^4 +bx^3 +cx^2 +dx +e =0 then the...

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  16. The reciprocal equation is

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  17. The equation x^4 + 3x^3 -3x -1=0 is a reciproca, equation of

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  18. The reciprocal equation is

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  19. If alpha is a positive root of the equation x^4 +x^3 -4x^2 +x...

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  20. If 2,3 are two roots of the reciprocal equation 6x^5 - 29 x^4 ...

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