Find a and b such that `2a+i4b and 2i` represent the same complex number.

Represent the complex numbers 2-2i

Let 3-i and 2+i be affixes of two points A and B in the Argand plane and P represents the complex number z=x+iy . Then, the locus of the P if |z-3+i|=|z-2-i| , is

ABCD is a rhombus. Its diagonals AC and BD intersect at the point M and satisfy BD = 2AC .If he point D and M represent the complex numbers 1 + i and 2 - i respectively, then A represents the complex number......or......

Represent the complex number -2i in the polar form.

Find the multiplicative inverse of the complex number: 3+2i

Find the modulus and argument of the complex number (1+2i)/(1-3i) .

find the multiplicative inverse of the complex number 2 + 9i .

If the imaginary part of (2z+1)//(i z+1) is -2, then find the locus of the point representing in the complex plane.

Show that the points representing the complex numbers 3+2i, 5i, -3+2i and -i form a square

Show that the points representing the complex numbers (3+2i),(2-i) and -7i are collinear