A man walks a distance of 3 units from the origin towards the North-East ( ) direction

MATHEMATICS · Single correct · CBSE · Mathematics · Complex Numbers and Quadratic Equations · Complex Numbers and Quadratic Equations

Problem

A man walks a distance of 3 units from the origin towards the North-East (

N 45^\circ E

) direction. From there, he walks a distance of 4 units towards the North-West (

N 45^\circ W

) direction to reach a point

P

. Then, the position of

P

in the Argand plane is (where

i = \sqrt{-1}

). (1)

3e^{i\pi/4} + 4i

(2)

(3 - 4i)e^{i\pi/4}

(3)

(4 + 3i)e^{i\pi/4}

(4)

(3 + 4i)e^{i\pi/4}