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JEE Main & Advanced Mathematics Circle and System of Circles Question Bank Tangent and normal to a circle

  • question_answer
    At which point on y-axis the line \[x=0\]is a tangent to circle \[{{x}^{2}}+{{y}^{2}}-2x-6y+9=0\]                                  [RPET 1984]

    A)            (0, 1)                                         

    B)            (0, 2)

    C)            (0, 3)                                         

    D)            (0, 4)

    Correct Answer: C

    Solution :

               For\[x=0\], we get \[{{y}^{2}}-6y+9=0\] or \[{{(y-3)}^{2}}=0\] i.e., point of contact is (0, 3).


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