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Question

The general solution of the equation tan2(x+y)+cot2(x+y)=1āˆ’2xāˆ’x2 lie on the line is :

A
x=1
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B
x=2
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C
y=1
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D
y=2
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Solution

The correct option is A x=1
tan2(x+y)+cot2(x+y)=12xx2tan2(x+y)+cot2(x+y)=[x2+2x+1]+22tan2(x+y)+cot2(x+y)=2(x+1)2ForsolutiontoexistRHS=LHS(x+1)2=0x=1Hence,optionAiscorrectanswer.

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