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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^(1pi//4) + 4i`

B

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

C

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

D

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

Text Solution

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The correct Answer is:
D
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VMC MODULES ENGLISH-COMPLEX NUMBERS -JEE ARCHIVE
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  18. If z(1)=p+iq and z(2) = u = iv are complex numbers such that |z(1)|=...

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  19. Let z1a n dz2 be complex numbers such that z1!=z2 and |z1|=|z2|dot If ...

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