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If alpha, beta ,gamma are the roots of x...

If `alpha, beta ,gamma` are the roots of `x^(3) + x^(2) + x + 1 = 0` then `alpha^(3) + beta^(3) + gamma^(3)` =

A

1

B

`-1`

C

2

D

-2

Text Solution

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The correct Answer is:
2
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DIPTI PUBLICATION ( AP EAMET)-THEORY OF EQUATIONS-EXERCISE 1A
  1. If alpha, beta , gamma are the roots of x^(3) - px^(2) + qx - r = 0 ...

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

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

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

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  5. The sum of the cubes of the roots of the equation x^(3) - 6x^(2) + 11x...

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

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  7. The sum of the fourth powers of the roots of the equation x^(3) + x + ...

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  8. If alpha, beta, gamma are the roots of x^(3) + x^(2) + x + 1 =0 then ...

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

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  10. If alpha, beta, gamma are the roots of x^(3) + 3x + 3 = 0, then alpha^...

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  11. If alpha, beta, gamma are the roots of x^(3) - px + q = 0 then alpha^(...

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  12. If 1,2,3 and 4 are the roots of the eqaution x^(4) + ax^(3) + b x^(2) ...

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  13. The sum of the fourth powers of the roots of the equation x^(4) - x^(3...

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  14. The sum of the fifth powers of the roots of the equation x^(4) - 3x^(3...

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  15. If alpha, beta ,gamma, delta are the roots of the equation x^(4) - x^(...

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  16. The sum of the fourth powers of the roots of the equation x^(5) + px^(...

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  17. If alpha, beta ,gamma are roots of x^(3) + px^(2) + qx + r = 0 then s...

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  18. If alpha, beta, gamma are roots of x^(3) + 2x^(2) - 3x - 1 =0, then a...

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  19. If alpha, beta ,gamma are roots of equation x^(3) - 7x +7 = 0 , then ...

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  20. If alpha, beta, gamma are roots of x^(3) + 2x^(2) - 3x - 1 = 0, then t...

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