If x= a b-c , y= b c-a , z= c a-b then what is the value of the following? vmatrix 1 & -x & x 1 & 1 & -y 1 & z & 1 vmatrix

NDA 2021 Mathematics question

x=, y=, z=

then what is the value of the following?

Answer: (A)

Expand along the first row: 1(1+yz)+x(1+y)+x(z-1)=1+yz+x+xy+xz-x=1+xy+yz+zx. Now . The numerator factorises

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Question ID VK-033660