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

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

A

`(5)/(2)`

B

`(2)/(5)`

C

`-(5)/(2)`

D

`-(2)/(5)`

Text Solution

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

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

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

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

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

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

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

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

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

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  13. |[1^(2),2^(2), 3^(2),4^(2)],[2^(2),3^(2),4^(2),5^(2)],[3^(2),4^(2),5^(...

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  14. The value of [[a,b,c,d],[-a,b,c,d],[-a,-b,c,d],[-a,-b,-c ,d]] is

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

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  16. The value of |(x+y,y+z,z+x),(x,y,z),(x-y,y-z,z-x)|=

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

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

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

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  20. If f(x)=[[1 ,x ,x+1],[2 x ,x(x-1) ,(x+1) x],[3 x(x-1),x(x-1)(x-2) ,...

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