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JEE Main & Advanced Mathematics Conic Sections Question Bank Parabola

  • question_answer
    The angle between the tangents drawn at the end points of the latus rectum of parabola \[{{y}^{2}}=4ax\], is

    A)            \[\frac{\pi }{3}\]                       

    B)            \[\frac{2\pi }{3}\]

    C)            \[\frac{\pi }{4}\]                       

    D)            \[\frac{\pi }{2}\]

    Correct Answer: D

    Solution :

               End points are \[(a,\,\,\pm \,2a).\]            \[\therefore \]Tangents are , \[\pm 2ay=2a(x+a)\]or \[m=\pm \frac{2a}{2a}=\pm 1\]            Hence angle between them is \[\frac{\pi }{2}\].


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