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JCECE Engineering JCECE Engineering Solved Paper-2012

  • question_answer
    The equation\[z\bar{z}+z+\bar{z}+10=0\], represents

    A)  a circle                

    B)  a parabola

    C)  an ellipse           

    D)  a hyperbola

    Correct Answer: A

    Solution :

    Let\[z=x+iy\] Then,    \[\bar{z}=x-iy\] Given, equation is\[z\bar{z}+z+\bar{z}+10=0\] \[\Rightarrow \]\[(x+iy)+(x-iy)+(x+iy)+(x-iy)+10=0\] \[\Rightarrow \]\[{{x}^{2}}+{{y}^{2}}+2x+10=0\] It represents the equation of a circle.


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