Walking in Argand Plane (JEE Problem)

Algebra Level 4

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 North - West (N \(45^{\circ}\) W) direction to reach a point \(\color{blue}P\).
Then, position of point \(\color{blue}{P}\) in the argand plane is:

Details :

  • \( i = \sqrt{-1}\)

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