12th Maths Guide Chapter 2 Complex Numbers Exercise 2.7 PDF Solution

Question No. 1: Write the polar form of the following complex numbers.

(i) 2 + i2 √3

Solution:

(ii) 3 – i √3

Solution:

(iii) -2 – i 2 = r (cos θ + i sin θ)

Solution:

Solution:

Question No. 2: Find the rectangular form of the complex numbers.

Solution:

Question No. 3: (x1+iy1)(x2+iy2)(x3+iy3)⋯(xn+iyn)=a+ib, show that.

Solution:

Question No. 4:

Solution:

Question No. 5: If cos α + cos β + cos γ = sin α + sin β + sin γ = 0. then show that.

(i) cos 3α + cos 3β + cos 3γ = 3 cos (α + β + γ) and
(ii) sin 3α + sin 3β + sin 3γ = 3 sin (α + β + γ).

Solution:

Question No. 6:

Solution: