Question

In the argand plane, the complex number $ y=x $ is turned in the clockwise sense through 180? and stretched three times. The complex number represented by the new number is

• A. $ \therefore $
• B. $ \left( \frac{-3-{{y}_{1}}}{4-{{x}_{1}}} \right)(1)=-1 $
• C. $ \Rightarrow $
• D. $ {{y}_{1}}+{{x}_{1}}=1 $

Answer 1

Answer: (D)

Given, $ \frac{3}{2}M{{L}^{2}} $ $ \frac{3}{4}M{{L}^{2}} $ $ M{{L}^{2}} $ This complex number lies in IV quadrant. When we rotate this point in 180° clockwise, then this point moves in II quadrant. So, new complex number will be $ {{R}_{1}} $ $ {{R}_{2}} $ Required complex number is $ {{Q}_{1}} $ i.e., $ {{Q}_{2}} $