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JEE Main & Advanced Mathematics Conic Sections Question Bank Parabola

  • question_answer
    If a normal drawn to the parabola \[{{y}^{2}}=4ax\] at the point \[(a,\ 2a)\] meets parabola again on \[(a{{t}^{2}},\ 2at)\], then the value of t will be [RPET 1990]

    A)            1     

    B)            3

    C)            ?1   

    D)            ?3

    Correct Answer: D

    Solution :

               We know that \[{{t}_{2}}=-{{t}_{1}}-\frac{2}{{{t}_{1}}}\]                    Put \[{{t}_{1}}=1\]and \[{{t}_{2}}=t\]. Hence \[t=-3\].


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