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If (b-c)^(2)!=(a-b)(c-a) and |(a+x,b+x,c...

If `(b-c)^(2)!=(a-b)(c-a)` and `|(a+x,b+x,c+x),(b+x,c+x,a+x),(c+x,a+x,b+x)|=0` then `x=`

A

`a+b+c`

B

`-1/2(a+b+c)`

C

`1/2(a+b+c)`

D

`-1/3(a+b+c)`

Text Solution

Verified by Experts

The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-MATRICES-EXERCISE 1B MCQ (DETERMINANTS)
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  9. |(a,b,ax+by),(b,c,bx+cy),(ax+by,bx+cy,0)|=

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