question_answer

The area bounded by the angle bisectors of the lines \[{{x}^{2}}-{{y}^{2}}+2y=1\] and the line \[x+y=3\], is [IIT Screening 2004]

A)            2    

B)            3

C)            4    

D)            6

Correct Answer: A

Solution :

               The angle bisectors of the lines given by \[{{x}^{2}}-{{y}^{2}}+2y=1\] are \[x=0\], \[y=1\].            Therefore, required area                                 = \[\frac{1}{2}\times 2\times 2=2\].