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If one of the root x^(4) - 5x^(3) + 10x^...

If one of the root `x^(4) - 5x^(3) + 10x^(2) - 20x + 24 = 0 ` is purely imaginary then the roots are

A

1, -2, 4, - 8

B

`pm` 1, 2, 3

C

`pm`2i,2,3

D

`-3`/2, - 1/3, 2 `pm sqrt(3)`

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DIPTI PUBLICATION ( AP EAMET)-THEORY OF EQUATIONS-EXERCISE 1A
  1. If - 1 + i is a root of x^(4) + 4x^(3) + 5x^(2) + 2x + k = 0 then k =

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  2. If two roots of x^(4) - 16x^(3) + 86x^(2) - 176x + 105 = 0 are 1, 7 t...

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  3. If one of the root x^(4) - 5x^(3) + 10x^(2) - 20x + 24 = 0 is purely ...

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  4. It two roots of 20x^(3) - 16x^(2) + x + 1 = 0 are equal then the root...

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  5. The roots of x^(3) - 3x^(2) + 4 = 0 , when there is a multiple root, ...

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  6. If x^(4) -5x^(3) + 9x^(2) - 7x + 2 = 0 has a multiple roots of order...

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  7. Find the repeated roots of x^5-3x^4-5x^3+27x^2-32x+12=0

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  8. The multiple roots of x^(4) - 2x^(3) - 11x^(2) + 12x + 36 = 0 are

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  9. If the roots of x^(4) - 6x^(3) +13x^2-12x + 4 = 0 are alpha, alpha ,...

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  10. If x^(4) + 4x^(3) - 2x^(2) - 12x + 9 = 0 has a pair of equal roots th...

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  11. The there is a multiple root of order 3 for the equation x^(4) - 2x^(3...

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  12. If one root of 24x^(3) - 14x^(2) - 63x + 45 = 0 is the double the oth...

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  13. If one root of 24x^(3) + 46x^(2) + 9x - 9 = 0 is the double the other ...

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  14. If two roots of x^(3) - 4x^(2) + x + 6 = 0 are in the ratio 2 : 3 then...

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  15. If two roots of 2x^(3) - x^(2) - 22x - 24 = 0 are in the ratio 3 : 4 ...

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  16. If the sum of two of the roots of 4x^(3) + 16x^(2) - 9x - 36 = 0 is z...

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  17. If the sum of two of the roots of x^(4) - 2x^(3) - 3x^(2) + 10x - 10 =...

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  18. If two of the roots of 8x^(4) - 2x^(3) - 27x^(2) + 6x + 9 = 0 are bei...

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  19. If the roots of 2x^(3) - 3x^(2) - 11x + 6 = 0 are in A.P. then the ro...

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  20. If the roots of x^(4) - 8x^(3) + 14x^(2) + 8x - 15 = 0 are in A.P the...

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