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JEE Main & Advanced Mathematics Conic Sections Question Bank Parabola

  • question_answer
    If the normals at two points P and Q of a parabola \[{{y}^{2}}=4ax\] intersect at a third point R on the curve, then the product of ordinates of P and Q is

    A)            \[4{{a}^{2}}\]                            

    B)            \[2{{a}^{2}}\]

    C)            \[-4{{a}^{2}}\]                           

    D)            \[8{{a}^{2}}\]

    Correct Answer: D

    Solution :

               As we know, \[{{t}_{1}}\times {{t}_{2}}=2\]Þ\[2a{{t}_{1}}\times 2a{{t}_{2}}=8{{a}^{2}}\].


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