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A man walks a distance of 3 units from t...

A man walks a distance of 3 units from the origin towards the North-East `(N45^0E)` direction.From there, he walks a distance of 4 units towards the North-West `(N45^0W)` direction to reach a point `Pdot` Then, the position of `P` in the Argand plane is (a) `3e^((ipi)/4)+4i` (b) `(3-4i)e^((ipi)/4)` `(4+3i)e^((ipi)/4)` (d) `(3+4i)e^((ipi)/4)`

A

`3e^(ipi//4)+4i`

B

`(3-4i)e^(ipi//4)`

C

`(4+3i)e^(ipi//4)`

D

`(3+4i)e^(ipi//4)`

Text Solution

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The correct Answer is:
D
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