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VIT Engineering VIT Engineering Solved Paper-2011

  • question_answer
    The number of common tangents to the circles\[{{x}^{2}}+{{y}^{2}}=4\]and \[{{x}^{2}}+{{y}^{2}}-6x-8y=24\]is

    A)  0

    B)  1

    C)  2

    D)  4

    Correct Answer: B

    Solution :

    The centres of the given circles \[{{x}^{2}}+{{y}^{2}}=4\]and \[{{x}^{2}}+{{y}^{2}}-6x-8y=24\]are \[{{C}_{1}}(0,\,0)\]and \[{{C}_{2}}(3,\,4)\]respectively. Their radii are\[{{r}_{1}}=2\]and\[{{r}_{2}}=7\]respectively.


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