Complex Numbers

Let z = $%5Cfrac%20%7B1%E2%88%92i%20%5Csqrt%7B3%7D%7D%7B1%2Bi%20%5Csqrt%7B3%7D%7D$
z = $%5Cfrac%20%7B1%E2%88%92i%20%5Csqrt%7B3%7D%7D%7B1%2Bi%20%5Csqrt%7B3%7D%7D$ x $%5Cfrac%20%7B1%E2%88%92i%20%5Csqrt%7B3%7D%7D%7B1-i%20%5Csqrt%7B3%7D%7D$
z = $%5Cfrac%20%7B(1%E2%88%92i%20%5Csqrt%7B3%7D)%5E2%7D%7B1%2B3%7D$
z = $%5Cfrac%20%7B-2%E2%88%922i%20%5Csqrt%7B3%7D%7D%7B4%7D$
z = $-%5Cfrac%20%7B1%7D%7B2%7D%20-%20%5Cfrac%20%7Bi%5Csqrt%20%7B3%7D%7D%7B2%7D$
Now r = $%5Csqrt%20%7B(-%5Cfrac%20%7B1%7D%7B2%7D)%5E2%20%2B%20(-%5Cfrac%20%7B%5Csqrt%7B3%7D%7D%7B2%7D)%5E2%20%7D$
r = 1
On comparing with z = r cos α + ir sin α
r cos α= $-%5Cfrac%20%7B1%7D%7B2%7D$
cos α = $-%5Cfrac%20%7B1%7D%7B2%7D$
cos α = cos 240^o
α = 240^o
Therefore the correct option is (D) 240^o

High-Yield Trend

Chapter Questions
2 MCQs

Official Solution

Official Solution

Complex Numbers

High-Yield Trend

Chapter Questions 2 MCQs

Official Solution

Official Solution

Chapter Questions
2 MCQs