Q13 of 153 Page 13

If find x + y.

Given:

⇒

We know that i²=-1

⇒

Multiplying and dividing with 2+i

⇒

Equating Real and Imaginary parts on both sides we get

⇒

∴ The value of x+y is .

Find the smallest positive integer value of n for which is a real number.

If find (x, y)

If find (a, b).

If a = cos θ + i sin θ, find the value of