Multiple Choice Questions on Geometrically Re z2 minus i 2 where i radic minus 1 and Re is the real part repr........... for NDA Exam Preparation

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Multiple Choice Questions

Geometrically Re z2 minus i 2 where i radic minus 1 and Re is the real part repr...........

Mathematics (NDA) Geometry
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    Geometrically  Re( z2 − i ) = 2, where i = √−1 and Re is the real part, represents -

    circle

    Incorrect Answer

    ellipse

    Incorrect Answer

    rectangular hyberbola

    Correct Answer

    parabola

    Incorrect Answer
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    Explanation:

    Re ( z2 – i) = 2

    Let z = x + i y

    z2 – i = 2

    or x2 – y2 + 2 x y – i = 2

    x2 – y2 + (2 x y – 1)i = 2

    Now Re(z2 – i) = x2 – y2 

    Therefore x2 – y2 = 2, which is equation of rectangular hyperbola.

    By: Yachna
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