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If - 1 + i is a root of x^(4) + 4x^(3) +...

If - 1 + `i` is a root of `x^(4) + 4x^(3) + 5x^(2) + 2x + k = 0 ` then k =

A

1

B

`-1`

C

2

D

`-2`

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The correct Answer is:
4
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DIPTI PUBLICATION ( AP EAMET)-THEORY OF EQUATIONS-EXERCISE 1A
  1. If 3 - sqrt(2) is a root of x^(4) - 8x^(3) + 21x^(2) - 26x + 14 = 0 ...

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  2. If 2, 3 are the roots of the equation 2x^(3) + px^(2) - 13x + q = 0, t...

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  3. If - 1 + i is a root of x^(4) + 4x^(3) + 5x^(2) + 2x + k = 0 then k =

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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