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Q.

If x+y+z=xyz then 3xx313x2=

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a

π3xx313x2

b

π3x+x31+3x

c

π3x+x313x2

d

π3xx31+3x2

answer is A.

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Detailed Solution

Put x=tanA,y=tanB,z=tanC then x+y+z=xyz becomestanA+tanB+tanC=tanAtanBtanCA+B+C=180
3A+3B+3C=5403A+3B=5403Ctan3A+tan3B+tan3C=tan3Atan3Btan3Ctan3A=πtan3A

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