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If |[b+c,c+a,a+b],[a+b,b+c,c+a],[c+a,a+b...

If `|[b+c,c+a,a+b],[a+b,b+c,c+a],[c+a,a+b,b+c]|=k |[a,b,c],[c,a,b],[b,c,a]|` then the value of `k` is

A

1

B

2

C

3

D

4

Text Solution

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The correct Answer is:
B
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HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
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  4. The determinant : |(a,b,aalpha+b),(b,c,balpha+c),(aalpha+b,balpha+c,...

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  5. If Dr=|[r,1,(n(n+1))/(2)],[2r-1,4,n^2],[2^(r-1),5,2^(n)-1]| then, sum...

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  14. If Delta= |[0,b-a,c-a],[a-b,0,c-b],[a-c,b-c,0]| then Delta=

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  15. If Deltar= |[2r-1, mCr,1],[m^2-1,2^m,m+1],[m^2+m+1,2^m+1,m+2]|, then s...

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  17. If omega is an imaginary cube root of unity, then the value of |[a,b ...

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  18. Let a, b, c be such that b(a+c) ne 0. If |[a,a+1,a-1],[-b,b+1,b-1],[c...

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