Q1 of 153 Page 13

Express the following complex numbers in the standard form a + i b :

Given:

⇒

Multiplying and dividing with 1+i

⇒

We know that i²=-1

⇒

∴ The values of a, b are 1, 2.

Express the following complex numbers in the standard form a + i b :

Find the real values of x and y, if

(x + i y) (2 – 3i) = 4 + i

Find the real values of x and y, if

(3x – 2i y) (2 + i)² = 10 (1 + i)