J & K CET Engineering J and K - CET Engineering Solved Paper-2004

  • question_answer
    The centre and the radius of the circle \[z\bar{z}+(2+3i)\,\,\bar{z}-2(2-3i)z+12=0\] is

    A)  \[-(2+3i),\,(1)\] 

    B)  \[(3+2i),(1)\]

    C)  \[(3+6i),(3)\]  

    D)  None of these

    Correct Answer: A

    Solution :

    Given equation of circle is \[z\,\bar{z}+(2+3i)\bar{z}-2(2-3i)z+12=0\] Here, centre is \[\{-(2+3i)\}\] and radius \[=\sqrt{|2+3i{{|}^{2}}-12}=\sqrt{13-12}=1\]


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