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If a != b != c, are value of x which sat...

If `a != b != c`, are value of x which satisfies the equation
`|(0,x -a,x -b),(x +a,0,x -c),(x +b,x +c,0)| = 0` is given by

A

a

B

b

C

c

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
`|{:(" "0,x-a,x-b),(x+a," "0,x-c),(x+b,x+c," "0):}|=0`
We know, the value of symmetric matrix's determinant is 0
`|{:(0,-a,-b),(a,0,-c),(b,c,0):}|=0`
In the given matrix, determinant is 0, if x = 0
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