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JEE Main & Advanced Mathematics Conic Sections Question Bank Parabola

  • question_answer
    The point of intersection of the parabola at the points \[{{t}_{1}}\] and \[{{t}_{2}}\] is     [RPET 2002]

    A)            \[(a{{t}_{1}}{{t}_{2}},\ a({{t}_{1}}+{{t}_{2}}))\]                           

    B)            \[(2a{{t}_{1}}{{t}_{2}},\ a({{t}_{1}}+{{t}_{2}}))\]

    C)            \[(2a{{t}_{1}}{{t}_{2}},\ 2a({{t}_{1}}+{{t}_{2}}))\]                       

    D)            None of these

    Correct Answer: A

    Solution :

               Tangents at \['{{t}_{1}}',\,\,\]\['{{t}_{2}}'\] meet at \[(a{{t}_{1}}\,{{t}_{2}},\,a({{t}_{1}}+{{t}_{2}}))\].


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