KVPY Sample Paper KVPY Stream-SX Model Paper-12

  • question_answer
    The area bounded by the curves \[y=\left| x \right|-1\] and \[y=-\left| x \right|+1\]is

    A) 1

    B) 2

    C) \[2\sqrt{2}\]

    D) 4

    Correct Answer: B

    Solution :

    the given lines are  \[y=x-1;y=-x-1;\] \[y=x+1\] and \[y=-x+1\] Which are two pairs of parallel lines and distance between the lines of each pair is \[\sqrt{2}\]. Also nonparallel lines are perpendicular thus lines represents a square of side \[\sqrt{2}\]. Hence, area \[={{(\sqrt{2})}^{2}}=2sq.\text{ }units.\]


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