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

  • question_answer
    The equation of circle which touches the axes of coordinates and the line \[\frac{x}{3}+\frac{y}{4}=1\]and whose centre lies in the first quadrant is \[{{x}^{2}}+{{y}^{2}}-2cx-2cy+{{c}^{2}}=0\], where c is  [BIT Ranchi 1986; Kurukshetra CEE 1996]

    A)            1    

    B)            2

    C)            3    

    D)            6

    Correct Answer: D

    Solution :

               Its centre is of type (c, c) and radius is                    \[\left| \frac{4c+3c-12}{5} \right|\ =\sqrt{{{c}^{2}}}\Rightarrow c=6\].


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