Geometrical Representation of Complex Numbers

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  • Q1

    The conjugate of a complex number 2i in Argand plane is represented by the point

    Marks:1
    Answer:

    (0, -2).

    Explanation:

    Conjugate of x+yi is given by x-yi.
    So, conjugate of 2i = -2i

    The complex number x+yi in Argand plane is represented by the point (x, y).
    Therefore, required point is (0, -2).

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  • Q2

    The curve represented by |z| = Re (z) + 2 is

    Marks:1
    Answer:

    a parabola.

    Explanation:

    Let z = x + iy

    Then |z| =(x2+y2) and Re (z) = x

    Thus |z| = Re (z) + 2

    (x2+y2)=x+2

    x2 + y2 = (x + 2)2 or y2 = 4x + 4

    which is a parabola.

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  • Q3

    In Argand plane, the distance of the point represented by 6-8i form the origin is

    Marks:1
    Answer:

    10 units.

    Explanation:

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