JEE Advanced Mathematics question

MathematicsComplex NumbersJEE Advanced

A man walks a distance of 3 units from the origin towards the north-east (N 45° E) direction. From there, he walks a distance of 4 units towards the north-west (N 45° W) direction to reach a point . Then the position of in the Argand plane is

Answer: (D)

Solution

Take east as the positive real axis and north as the positive imaginary axis. North-east is at angle , north-west at

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Question ID VK-110636