JEE Main & Advanced Mathematics Circle and System of Circles Question Bank Equations of circle, Geometrical problems regarding circle

  • question_answer
    The area of the circle whose centre is at (1, 2) and which passes through the point (4, 6) is [MNR 1982; IIT 1980; Karnataka CET 1999; MP PET 2002; DCE 2000; Pb. CET 2002]

    A)            \[5\pi \]                                      

    B)            \[10\pi \]

    C)            \[25\pi \]                                   

    D)            None of these

    Correct Answer: C

    Solution :

               Obviously radius \[=\sqrt{{{(1-4)}^{2}}+{{(2-6)}^{2}}}=5\]                    Hence the area is given by \[\pi {{r}^{2}}=25\pi \ sq.\ units\].


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