Q17 of 153 Page 14

Write the value of

As we all know that,

z = r(cos θ + i sin θ ) , θ = arg(z)

= r(cos(-θ)+sin(-θ)

So,

= 0

Write the value of

Write the sum of the series i + i² + i³ + …. Upto 1000 terms.

If |z + 4| ≤ 3, then find the greatest and least values of |z + 1|.

for any two complex numbers z₁ and z₂ and any two real numbers a, b find the value of |az₁ – bz₂|² + |az₂ + bz₁|².