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

If ` alpha , beta , gamma ` are the roots of the equation `x^3 +px^2 + qx +r=0` then the coefficient of x in cubic equation whose roots are
` alpha ( beta + gamma ) , beta ( gamma + alpha) and gamma ( alpha + beta)` is

A

2q

B

`q^(2) + pr`

C

`p^(2) - qr`

D

`r(pq - r)`

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DIPTI PUBLICATION ( AP EAMET)-THEORY OF EQUATIONS-EXERCISE 1B
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  2. If alpha , beta , gamma are the roots of x^3 + 4x +1 =0 then th...

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

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

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

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  6. If alpha, beta,gamma are the roots of x^3-6x^2+11x-6=0 then find t...

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

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

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  9. If alpha, beta , gamma are the roots of x^(3) + 3px^(2) + 3px + r = 0 ...

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  10. If alpha ,beta,gamma are the roots of x^3+px^2+qx+r=0 , then form the...

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  11. If alpha , beta , gamma are the roots of the equation x^3 +p...

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  12. The roots of 4x^(3) - 13x^(2) - 13x + 4 = 0 are

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  13. The roots of 2x^(4) + x^(3) - 6x^(2) + x + 2 = 0 are

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  14. The roots of x^(4) - 10x^(3) + 26x^(2) - 10x + 1 = 0 are

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  15. The roots of x^(4) - 12x^(3) + 34x^(2) - 12x + 1 = 0 are

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  16. The roots of 6x^(4) - 5x^(3) - 38x^(2) - 5x + 6 = 0 are

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  17. The roots of 2x^(5) + x^(4) - 12x^(3) - 12x^(2) + x + 2 = 0 are

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

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  19. The equation whose roots are reciprocals of the roots of 6x^(6) - 25x^...

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  20. The equation whose roots are reciprocals of the roots of 6x^(6) - 25x^...

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