12th Maths Guide Solution Chapter 2 Complex Numbers Exercise 2.2

Here are the PDF solutions to the 12th Maths Guide solution Chapter 2 Complex Numbers, Exercise 2.2, according to the Samacheer Kalvi syllabus for Tamil Nadu state board students in the English and Tamil medium.

Question no 1: Evaluate the following if z = 5 – 2i and w = -1 + 3i

(i) z + w

Solution:-

(ii) z – iw

Solution:-

(iii) 2z + 3w

Solution:-

(iv) zw

Solution:-

(v) z² + 2zw + w²

Solution:-

(vi) (z + w)²

Solution:-

Question no 2: Given the complex number z = 2 + 3i, represent the complex numbers in the Argand diagram.

(i) z = 2 + 3i

Solution:-

(ii) z, – iz and z – iz

Solution:-

Question no 3: Find the values of the real numbers x and y. if the complex numbers

(3 – i)x – (2 – i) y + 2i + 5 and 2x + (-1 + 2i)y + 3 + 2i are equal

Solution:-