JEE Main & Advanced JEE Main Paper (Held On 9 April 2017)

  • question_answer
    A line drawn through the point P(4, 7) cuts the circle \[{{x}^{2}}+{{y}^{2}}=9\] at the points A and B. Then \[PA.PB\] is equal to: [JEE Online 09-04-2017]

    A)  74                                         

    B)  53

    C)  56                                         

    D)  65

    Correct Answer: C

    Solution :

      P(4, 7) it midpoint the circle \[PA\,\,PB=\,s_{1}^{2}\,=P{{T}^{2}}\] \[{{s}_{1}}=\sqrt{16+49-9}\,=\sqrt{56}\] \[S_{1}^{2}=56;\,\,\,\,\,\,\,\,\,\,PA-PB=56\]


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