Division of two complex number

The sum and product of two complex numbers are real if and only if they are conjugate of each other.

1.The product of two complex number 2+3i and 1-i is:

If Z_(1),Z_(2) are two complex numbers such that Z_(1)+Z_(2) is a complex no and Z_(1)Z_(2) is real number

Plot the following numbers nd their complex conjugates on a complex number plane : 1

Plot the following numbers nd their complex conjugates on a complex number plane : i

If z_1,z_2 are two complex numbers representing two consecutive vertices of a square then what is the complex number represented by the centre of the square ?

Introduction of Complex Numbers | Algebra of Complex Numbers