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JEE Main & Advanced Mathematics Circle and System of Circles Question Bank System of circles

  • question_answer
    If the circles of same radius a and centers at (2, 3) and (5, 6) cut orthogonally, then a =                                            [EAMCET 1988]

    A)            1    

    B)            2

    C)            3    

    D)            4

    Correct Answer: C

    Solution :

               \[{{({{C}_{1}}{{C}_{2}})}^{2}}=r_{1}^{2}+r_{2}^{2}\Rightarrow 2{{a}^{2}}=18\Rightarrow a=3\].


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