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" if " |{:(x,,3,,6),(3,,6,,x),(6,,x,,3):...

`" if " |{:(x,,3,,6),(3,,6,,x),(6,,x,,3):}|= |{:(2,,x,,7),(x,,7,,2),(7,,2,,x):}|=|{:(4,,5,,x),(5,,x,,4),(x,,4,,5):}|=0 ` then x is equal to

A

0

B

-9

C

3

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B

In each determinant applying `R_(1) to R_(1)+R_(2)+R_(3)` and then taking out `(x+9)` common we get
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