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If one root of x^(3) + 3x^(2) + 5x + k =...

If one root of `x^(3) + 3x^(2) + 5x + k = 0` may be the sum of the other two roots then k =

A

44139

B

17/6

C

25/9

D

33/8

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DIPTI PUBLICATION ( AP EAMET)-THEORY OF EQUATIONS-EXERCISE 1A
  1. Find the condition that x^3-px^2+qx-r=0 may have the sum of its roots ...

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  2. The condition that the x^(3) -px^(2) + qx -r = 0 may be the sum of th...

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  3. If one root of x^(3) + 3x^(2) + 5x + k = 0 may be the sum of the other...

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  4. Let A = {:|(2,e^(ipi)),(i^(2),i^(2012))|,C =(d)/(dx) ((1)/(x))|(x=1),...

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

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  6. If the product of two of the roots of x^(3) + kx^(2) - 3x + 4 = 0 may ...

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  7. If x^(4) + px^(3) + rx + s^(2) is a perfect square then p^(3) + 8r =

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  8. If x^(4) + px^(3) + rx + s^(2) is a perfect square then ps =

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  9. If -1, 2 ,alpha are roots of 2x^(3) + x^(2) - 7x - 6 = 0 then alpha =

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  10. If 1, -2, 3 are roots of x^(3) - 2x^(2) + ax + 6 = 0 then a =

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  11. If alpha,beta and 1 are the roots of x^3-2x^2-5x+6=0 then (alpha,beta)...

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  12. If the product of the roots of 4x^3+16x^2-9xa=0 is 9 , then find a .

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  13. If x^(3) - x^(2) + 33x + 5 = 0 then s(1), s(2) , s(3) are

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  14. If x^(4) -16x^(3) + 86x^(2) - 17x + 105 = 0 then s(1), s(2) , s(3), s...

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  15. If 8x^(4) - 2x^(3) - 27x^(2) + 6x + 9 = 0 then s(1), s(2), s(3) , s(4)...

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

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

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  18. If alpha,beta, gamma are the roots of 4x^(3) - 6x^(2) + 7x + 3 = 0 th...

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

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  20. If alpha, beta ,gamma are the roots of 2x^(3) - 5x^(2) + 3x - 1 = 0 t...

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