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The roots of the equation |[0,x,16],[x,5...

The roots of the equation `|[0,x,16],[x,5,7],[0,9,x]|= 0` are

A

(0,9,16)

B

(0,12,-12)

C

(0,12,12)

D

(0,12,16)

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The correct Answer is:
B
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HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
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  2. If |[1,2,3],[2,x,3],[3,4,5]|=0 then x=

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  3. The roots of the equation |[0,x,16],[x,5,7],[0,9,x]|= 0 are

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

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

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

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  9. The factors of |[1,1,1],[x,y,1],[x^2,y^2,1]|are

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

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

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  14. If A is a square matrix of order 3 and |A|=8, then |adj A|=

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

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