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If 1,2,3 and 4 are the roots of the ...

If 1,2,3 and 4 are the roots of the equation `x^4 + ax^3 + bx^2 +cx +d=0` then ` a+ 2b +c=`

A

`-25`

B

0

C

10

D

24

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-THEORY OF EQUATIONS-EXERCISE-II
  1. If (1 + I sqrt(3))/(2) is a root of the equation x^4-x^3 +x-1=0 ...

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  2. If the roots of the equation x^4 - 10x^3 +50 x^2 - 130 x + 16...

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  3. If 1,2,3 and 4 are the roots of the equation x^4 + ax^3 + bx^2 +...

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  4. If sqrt(3) +1 is a root of the equation 3x^3 + ax^2 + bx +12 =0...

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  5. If the roots of x^3 - 9x^2 +kx +l=0 are in A.P with common dif...

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  6. The roots of the equation x^(3) - 14x^(2) + 56x- 64 = 0 are in …… pr...

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  7. The roots of 48x^3 - 44 x^2 + 12 x -1=0 are in

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  8. The difference between two roots of the equation x^3 -13 x^2 + 15 ...

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  9. If two roots of x^3 - 9x^2 + 14 x +24 =0 are in the ratio 3:2 t...

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

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

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  12. If the roots of x^4 +5x^3 - 30 x^2 - 40 x+64=0 are in G.P then...

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  13. If the sum of two of the roots of x^4 -2x^3 -3x^2 +10 x-10=0 i...

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  14. the roots of the equation x^4 -6x^3 + 18x^2- 30 x +25 =0 are of...

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  15. Assertion (A) : If 1,2,3 are the roots of ax^3 + bx ^2 +cx +d=0 ...

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  16. If the product of two of the roots of x^4 - 5x^3 + 5x^2 + 5x -6=...

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  17. The equation x^3 -3qx +2r =0 has a repeated root then

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  18. If there is a multiple root of order 3 for the equation x^4 ...

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  19. The difference of the irrational roots of the equation x^5 -5x^4...

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  20. If alpha , beta , gamma are the roots of x^3 +2x^2 +3x +8=0 th...

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