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The condition that the product of two ...

The condition that the product of two of the roots `x^3 +px^2 +qx +r=0` is -1 is

A

`r^2 +pr +q+1=0`

B

` q^2 +pq +q +1=0`

C

`p^2 pq +p+1=0`

D

`r^2 -pr -q +1=0`

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The correct Answer is:
A
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AAKASH SERIES-THEORY OF EQUATIONS-EXERCISE-I
  1. If alpha , beta ,1 are roots of x^3 -2x^2 -5x +6=0 ( alpha gt 1...

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  2. If product of two roots of 4x^3 + 16 x^2 +kx - 36 =0 is -6 ...

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  3. The condition that the product of two of the roots x^3 +px^2 +qx ...

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  4. If the sum of the two roots of x^3 +px^2 +qx +r=0 is zero then ...

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  5. If one of x^3 +3x^2 +5x +k=0 is sum of the other two roots then...

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  6. If one root of x^3 - 12x^2 +kx -18=0 is thrice the sum of rem...

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  7. If the roots of 32x^3 - 48 x^2 +22 x-3=0 are in A.P then the m...

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  8. If the roots of the equation 4x^3 -12x^2 +11x +k=0 are in arithm...

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

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

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

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

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

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

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

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

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

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

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

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

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