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If ax^(4) + bx^(3) + cx^(2) + dx + e = |...

If `ax^(4) + bx^(3) + cx^(2) + dx + e = |{:(x^(3) + 3x , x - 1 , x+ 3) , (x + 1 , -2x , x- 4) , (x - 3 , x + 4 , 3x):}|` , then e =

A

1

B

-1

C

2

D

0

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The correct Answer is:
D
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HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
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  2. If alpha , beta , gamma are the roots of x^3+px+q=0 , then the value o...

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  3. If ax^(4) + bx^(3) + cx^(2) + dx + e = |{:(x^(3) + 3x , x - 1 , x+ 3) ...

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  4. Delta=|[log x ,log y, log z],[log 2 x, log 2 y, log 2 z],[log 3 x, log...

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  5. The value of the determine : Delta=|(1!,2!,3!),(2!,3!,4!),(3!,4!,5!)| ...

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  6. The determinant: |(xp+y,x,y),(yp+z,y,z),(0,xp+y,yp+z)|=0 if :

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  7. If f(x)=[[x-3 , 2 x^2-18 , 3 x^3-81],[ x-5 , 2 x^2-50 , 4 x^3-500],[ 1...

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  8. The value of n for which the determinant |[8 C3 , 9 C5 , 10 C7 ],[8 C4...

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  9. [[ 1 , 1 , 1],[ 4 , 3 , 2],[ 4^2 , 3^2 , 2^2 ]] =

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  10. If Delta= [[0 , x , -y ],[-x , 0 , z],[ y , -z , 0 ]] then

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  11. Let Delta=|(1,sintheta,1),(-sin theta,1,sintheta),(-1,-sintheta,1)| , ...

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  12. If [[ p , q-y , r-z],[ p-x , q , r-z ],[ p-x , q-y , r ]]=0, then (p)/...

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  14. If A and P are 3xx3 matrices with integral entries such that P ' AP = ...

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  15. Let A be a matrix of order 3 xx 3, and B is its adjoint matrix. If ...

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  16. IF A is a 3 times 3 matrix, |A| ne 0 and |3A|=k|A|, then write the val...

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  17. IF A is a 3 times 3 matrix, |A| ne 0 and |3A|=k|A|, then write the val...

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  18. If alpha , beta and gammaare roots of the equations x^3+px+q=0 then th...

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  19. Delta=|[x+a,b,c],[b,x+c, a],[c,a, x+b]| which of the following is a fa...

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