If z1, z2 and z3, z4 are two pairs of conjugate complex numbers, prove that

Q5 of 153 Page 14

If z₁, z₂ and z₃, z₄ are two pairs of conjugate complex numbers, prove that

Given:

⇒

We know that

⇒

We know that arg(z)+arg()=0

⇒

∴ Thus proved.

Express the following complex numbers in the form

If z₁ and z₂ are two complex number such that |z₁| = |z₂| and arg (z₁) + arg (z₂) = π, then show that

Express in polar form.

Write the value of the square root of i.