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If the roots of 54x^3 -39x^2 - 26 x^2 ...

If the roots of `54x^3 -39x^2 - 26 x^2 - 26 x+16 =0` are in G.P then one root is

A

`-2/3`

B

`2/3`

C

`3/2`

D

`-3/2`

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The correct Answer is:
A
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AAKASH SERIES-THEORY OF EQUATIONS-EXERCISE-I
  1. If the roots of the equation 4x^3 -12x^2 +11x +k=0 are in arithm...

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  2. If the roots of 6x^3 -11 x^2 +6x =0 are in H.P then one of the...

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  3. If the roots of 54x^3 -39x^2 - 26 x^2 - 26 x+16 =0 are in G.P the...

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  4. IF the roots of x^3 - 13x^2 +kx - 27=0 are in G.P then k=

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  5. If the roots of x^(3) - 42x^(2) + 336x - 512 = 0 , are in increasing g...

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  6. The condition that the roots of x^3 -bx^2 +cx -d=0 are in G.P is

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  7. The roots of the equation x^3 -3x -2=0 are

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  8. If one root of 24x^(3) - 14x^(2) - 63x + 45 = 0 is the double the oth...

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  9. For the equilibrium x^3 +3x^2 -x-2=0 if s1 ,s2 ,s3 have their ...

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  10. The repeated root of the equation 4x^3 -12x^2 -15x -4=0 is

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  11. The non - repeated root of x^3 +4x^2 +5x +2=0 is

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  12. If f(x )=0 has a repreated root alpha then another equation ...

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  13. If alpha , beta , gamma are roots of the equation x^3 + ax^2...

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

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  15. If alpha , beta , gamma are the roots of the equation x^3 -6x^2 +...

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

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

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

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

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

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