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If Delta=|{:(a(11),a(12),a(13)),(a(21),a...

`If Delta=|{:(a_(11),a_(12),a_(13)),(a_(21),a_(22),a_(23)),(a_(31),a_(32),a_(33)):}|` and `C_(ij)=(-1)^(i+j) M_(ij), "where " M_(ij)` is a determinant obtained by deleting ith row and jth column then then `|{:(C_(11),C_(12),C_(13)),(C_(21),C_(22),C_(23)),(C_(31),C_(32),C_(33)):}|=Delta^(2).`
Suppose a,b,c,`in R, a+b+c gt 0, A =bc -a^(2),B =ca-b^(2)` and `c=ab-c^(2)` and `|{:(A,B,C),(B,C,A),(C,A,B):}|` =49 then the valu of `a^(3)+b^(3)+c^(3)`-3abc is

A

-3

B

3

C

-7

D

7

Text Solution

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The correct Answer is:
B
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