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If alpha, beta, gamma are roots of a cub...

If `alpha, beta, gamma` are roots of a cubic equation satisfying the relations `alpha + beta + gamma` = 2, ` alpha^(2) + beta^(2) + gamma^(2) = 6 and alpha^(3) + beta^(3) + gamma^(3) = 8 ` then the cubic equation is

A

`x^(3) + 2x^(2) - x + 2 = 0 `

B

`x^(3) - 2x^(2) - x + 2 = 0 `

C

`x^(3) - 2x^(2) + x + 2 = 0 `

D

`x^(3) - 2x^(2) - x - 2 = 0`

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DIPTI PUBLICATION ( AP EAMET)-THEORY OF EQUATIONS-EXERCISE 1A
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  2. If alpha+ beta + gamma = 1, alpha^(2) + beta^(2) + gamma^(2) = 2 and ...

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  3. If alpha, beta, gamma are roots of a cubic equation satisfying the re...

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  4. If alpha, beta, gamma, delta are roots of x^(4) + px^(3) + qx^(2) + rx...

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  5. If alpha, beta, gamma, delta are roots of x^(4) + px^(3) + qx^(2) + rx...

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  6. If alpha, beta, gamma, delta are roots of the equation a x^(4) + 4b x^...

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  7. If alpha, beta, gamma, delta are roots of ax^(4) + 4bx^(3) + 6cx^(2) ...

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

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

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

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  11. If alpha, beta, gamma are roots of the equation x^(3) + px^(2) + qx +...

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  12. If alpha, beta, gamma are roots of the equationx^(3) + px^(2) + qx + ...

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

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  14. If alpha, beta, gamma are roots of the equationx^(3) + px^(2) + qx + ...

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  15. If alpha, beta, gamma are roots of the equationx^(3) + px^(2) + qx + ...

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  16. If alpha, beta, gamma are roots of the equation px^(3) + qx^(2) + rx ...

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

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

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

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

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