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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).`
If `|{:(1,x,x^(2)),(x,x^(2),1),(x^(2),1,x):}|` =5 and `Delta =|{:(x^(3)-1,0,x-x^(4)),(0,x-x^(4),x^(3)-1),(x-x^(4),x^(3)-1,0):}|` then sum of digits of `Delta^(2)` is

A

7

B

8

C

13

D

11

Text Solution

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The correct Answer is:
C
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