Q.

 xC1    xC2    xC3 yC1    yC2    yC3 2C1    2C2    2C3=

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a

xyz12(xy)(yz)(zx)

b

xyz(xy)(yz)(zx) 

c

xyz6(xy)(yz)(zx)

d

None of these

answer is C.

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Detailed Solution

Δ=xx(x1)2x(x1)(x2)6yy(y1)2y(y1)(y2)6zz(z1)2z(z1)(z2)6=xyz12

xx1(x1)(x2)yy1(y1)(y2)zz1(z1)(z2)=xyz121xx21yy21zz2 byC2+C1,C3+C1+3C2

=xyz12(xy)(yz)(zx)

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