Complex Numbers And Quadratic Equations question 338

Question: If P, Q, R, S are represented by the complex numbers $ 4+i,1+6i,-4+3i,-1-2i $ respectively, then PQRS is a [Orissa JEE 2003]

Options:

A) Rectangle

B) Square

C) Rhombus

D) Parallelogram

Show Answer

Answer:

Correct Answer: B

Solution:

$ |PQ|=|QR|=|RS|=|SP| $ and $ \angle PQR=90^{o} $ .