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If `5x(1+ 1/(x^(2)+y^(2)))=12` and `5y(1- 1/(x^(2)+y^(2)))=4 AAx,yepsilonR`, then correct option is/areA. `|x|=|y|=3`B. `x+y=1/5`C. `|x|+|y|=3/5`D. `x^(2)+y^(2)=5` |
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Answer» Correct Answer - A::B::C::D `x=12/15 xx 1/ ((1+1/ (x^(2)+y^(2)))`………(i) and `y=4/5 xx (1/(1- 1/(x^(2)+y^(2))))`………(ii) Put `x^(2)+y^(2)=1/u` and add `(i)^(2)` and `(ii)^(2)` `implies1/u=(4/5)^(2) (9/((1+4)^(2))+1/((1-4)^(2)))` `implies 25(u^(2)-2+1/(u^(2)))=32 {5 (4+ 1/4)-8}` Put `u+1/u=vimpliesv=6/5` or `26/5` `implies4=5` or `1/5` `implies(x,y)=(2,1)` or `(2/5, (-1)/5)` |
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