JEE Main & Advanced Mathematics Pair of Straight Lines Question Bank Critical Thinking

  • 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                                 = \[\frac{1}{2}\times 2\times 2=2\].

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