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If a ,b ,c are different, then the value...

If `a ,b ,c` are different, then the value of `x` for which `|[0,x^2-a, x^3-b], [x^2+a,0,x^2+c ],[x^4+b, x-c,0]|=0` is

A

a

B

c

C

b

D

0

Text Solution

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The correct Answer is:
D
Since for x=0 the determinant reduces to the determinant of a skew -symmetric matrix of odd order which is always zero hence x=0 is the solution of the given equation.
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