JEE Main & Advanced Mathematics Conic Sections Question Bank Parabola

  • question_answer
    If the normal to\[{{y}^{2}}=12x\] at (3, 6) meets the parabola again in (27, ?18) and the circle on the normal chord as diameter is [Kurukshetra CEE 1998]

    A)            \[{{x}^{2}}+{{y}^{2}}+30x+12y-27=0\]

    B)            \[{{x}^{2}}+{{y}^{2}}+30x+12y+27=0\]

    C)            \[{{x}^{2}}+{{y}^{2}}-30x-12y-27=0\]

    D)            \[{{x}^{2}}+{{y}^{2}}-30x+12y-27=0\]

    Correct Answer: D

    Solution :

               According to question, equation of circle with points   (3, 6) and (27, ?18) on diameter will be                    \[(x-3)(x-27)+(y-6)(y+18)=0\]                    \[{{x}^{2}}+{{y}^{2}}-30x+12y-27=0\].


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