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If `(tan^(-1)x)^(3)+(tan^(-1)y)^(3)=1-3tan^(-1)x.tan^(-1)y`. Then which of the following may be trueA. `(x+y)/(tan1)=-2`B. `(tan^(-1)x)/(1-tan^(-1)y)=2`C. `(x+y)/(tan1)=2`D. `(x+y)/(cot1)=1` |
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Answer» Correct Answer - A `a^(3)+b^(3)+c^(3)=3abc` `impliesa+b+c=0` or `a=b=c` `impliestan^(-1)x+tan^(-1)y=1` or `tan^(-1)x=tan^(-1)y=-1` `impliesx=y=-tan1` or `(x+y)/(1-xy)=tan1` `(x+y)/(tan1)=-2` |
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