Geometrical Representation of Complex Numbers
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The conjugate of a complex number 2i in Argand plane is represented by the pointMarks:1
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).
The curve represented by |z| = Re (z) + 2 isMarks:1
Let z = x + iy
Then |z| =(x2+y2) and Re (z) = x
Thus |z| = Re (z) + 2
x2 + y2 = (x + 2)2 or y2 = 4x + 4
which is a parabola.
In Argand plane, the distance of the point represented by 6-8i form the origin isMarks:1