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Q.

xy+yz+zx=1,x1+x2+y1+y2+z1+z2=

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a

2(1+x2)(1y2)(1z2)

b

2(1x2)(1+y2)(1z2)

c

2(1+x2)(1+y2)(1+z2)

d

2(1x2)(1+y2)(1+z2)

answer is C.

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Detailed Solution

Put x=tanA,y=tanB,z=tanC and simplify

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