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If |(x +a,b,c),(a,x +b,c),(a,b,x +c)| = ...

If `|(x +a,b,c),(a,x +b,c),(a,b,x +c)| = 0`, then x equals

A

`a+b+c`

B

`-(a+b+c)`

C

`0,a+b+c`

D

`0,-(a+b+c)`

Text Solution

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The correct Answer is:
D
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MCGROW HILL PUBLICATION-DETERMINANTS-EXERCISE (LEVEL 1 SINGLE CORRECT ANSWER TYPE QUESTIONS)
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  6. The determinant Delta=|(1,1+i,i),(1+i,i,1),(i,1,1+i)| equals

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  7. If a,b,c are non zero real numbers then Delta=|(1,ab,1/a+1/b),(1,bc,...

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  13. The number of distinct real roots of |s in x cos x cos x cos x s in x ...

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  17. If |{:(1,x,x^(2)),(x,x^(2),1),(x^(2),x,x):}| =3 then the value of |{:(...

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  18. If Delta=|(sin alpha, cos alpha, sin alpha+cos beta),(sin beta, cos al...

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  19. Suppose a,b,c epsilon R and a,b,c gt 0. Let Delta=|(loga, logb, logc...

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