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|(-a^(2),ab,ac),(ab,-b^(2),bc),(ac,bc,-c...

`|(-a^(2),ab,ac),(ab,-b^(2),bc),(ac,bc,-c^(2))|=`

A

`a^(2)b^(2)c^(2)`

B

`4a^(2)b^(2)c^(2)`

C

`2a^(2)b^(2)c^(2)`

D

`3a^(2)b^(2)c^(2)`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-MATRICES -DETERMINANTS-PRACTICE EXERCISE
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  2. If |{:(1+x,2,3),(1,2+x,3),(1,2,3+x):}|=0 then x =

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  7. The determinant Delta=|(a,a+b,a+2b),(a+2b,a,a+b),(a+b,a+2b,a)|=

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  8. If |((a^(2)+b^(2))//c, c, c),(a,(b^(2)+c^(2))//a,a),(b,b,(c^(2)+a^(2))...

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  9. |(a^(2)+2a,2a+1,1),(2a+1,a+2,1),(3,3,1)|

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  10. If A+B+C=pi then |{:(tan(A+B+C),tanB,tanC),(tan(A+C),0,tanA),(tan(A+B)...

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  14. If a="cos"(4pi)/3+I"sin"(4pi)/3,then |(1,1,1),(1,a,a^(2)),(1,a^(2),a)|...

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  15. If A+B+C=pi then the value of |(sin(A+B+C), sinB, cosC),(-sinB,0,tanA)...

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  17. Let the three digit number A28, 3B9,62C, where A,B,C are integers betw...

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  18. If f(x)=|(2cosx,1,0),(x-pi//2,2cosx,1),(0,1,2cosx)| then (df)/(dx) at ...

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  19. If a,b,c are different and |(a,a^(2),a^(3)-1),(b,b^(2),b^(3)-1),(c,c^(...

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