A) 1
B) 2
C) \[\frac{3}{4}\]
D) \[\frac{1}{2}\]
Correct Answer: C
Solution :
Let \[=x+y\] \[\operatorname{Im}\left[ \left( \frac{x-y-2}{x+(y-1)} \right)\,\left( \frac{x-(y-1)}{x-(y-1)} \right) \right]+1=0\] \[+\frac{(y-1)\,(y+2)+{{x}^{2}}}{{{x}^{2}}+{{(y-1)}^{2}}}+1=0\] \[=2{{x}^{2}}+2{{y}^{2}}-y-1=0\] \[={{x}^{2}}+{{y}^{2}}-1/2y-1/2=0\] \[\cot \,x=10,\,1/4\] \[=\sqrt{1/2+1/2}\,=\sqrt{9/16}=3/4\]
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