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The factors of |[x,a,b],[a,x,b],[a,b,x]|...

The factors of `|[x,a,b],[a,x,b],[a,b,x]|`are

A

`x-a, x-b` and `x+a+b`

B

`x+a, x+b` and `x+a+b`

C

`x+a, x+b` and `x-a-b`

D

`x-a, x-b` and `x-a-b`

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The correct Answer is:
A
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HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
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  3. The factors of |[x,a,b],[a,x,b],[a,b,x]|are

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  4. If |[1,2,3],[2,x,3],[3,4,5]|=0 then x=

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  6. The roots of the equation |[2+x,3,-4],[2,3+x,-4],[2,3,-4+x]|=0 are

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  7. A root of the equation |(0, x-a,x-b),(x+a,0,x-c),(x+b,x+c,0)|=0 is

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  8. The roots of the equation |(x-1,1,1),(1,x-1,1),(1,1,x-1)| = 0 are

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  9. If a+b+c=0 , one root of : |(a-x,c,d),(c,b-x,a),(b,a,c-x)|=0 is :

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  10. The non zero value of x, if |[-x,1,0],[1,-x,1],[0,1,-x]|=0 is

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  12. The factors of |[x,a,b],[a,x,b],[a,b,x]|are

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  18. The value of {:[(x,p,q),(p,x,q),(p,q,x)]:} is

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  19. If 3^n is a factor of the determinant [[1,1,1],[n C(1),(n+3) C(1) ,(n+...

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

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