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

A

2

B

3

C

4

D

5

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The correct Answer is:
C
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AAKASH SERIES-THEORY OF EQUATIONS-EXERCISE-II
  1. If alpha , beta , gamma are the roots of x^3 +2x^2 +3x +8=0 th...

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

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  3. If alpha, beta , gamma are the roots of the equation x^(3)+4x+1=0, the...

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

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  5. sum (1)/(alpha^2 beta^2)

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  6. If alpha , beta , gamma are the roots of x^3 + qx +r=0 then (1...

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  7. If f(x) =5x^3 +4x^2 - 13 x-25 and f(x-3) = 5x^3 - 41 x^2 + 98 x...

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  8. The equation whose roots exceed by 2 than the roots of 4x^4 ...

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  9. Find the polynomial equation whose roots are the squares of the roots ...

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  10. Form the polynomial equation whose roots are cubes of the roots of x^...

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

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

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

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

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

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

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

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

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

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

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