Multiple Choice Questions on Geometrically Re z2 ndash i 2 where i and Re is the real part represents ........ for NDA Exam Preparation

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Multiple Choice Questions

Geometrically Re z2 ndash i 2 where i and Re is the real part represents ........

Mathematics (NDA) Complex Numbers
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    Geometrically Re(z2 – i) = 2, where i = \sqrt{-1}  and Re is the real part, represents

    circle

    Incorrect Answer

    ellipse

    Incorrect Answer

    rectangular hyperbola

    Correct Answer

     parabola

    Incorrect Answer
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    Explanation:

    Let z = x + iy
    z2 – i = x2 – y2 + 2xyi – i
    = x2 – y2 + (2xy – 1)i
    Re (z2 – i) = 2
    => x2 – y2 = 2
    This equation represents rectangular hyperbola

    By: Munesh Kumari
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