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A particle P starts from the point z0 = ...

A particle P starts from the point `z_0 = 1+ 2i`, where `i = sqrt(-1)` It moves first horizontally away from origin by 5 units and then vertically away from origin by 3 units to reach a point `z_1` . From `z_1` the particle moves `sqrt2` units in the direction of the vector `hati + hatj` and then it moves through an angle `pi/2` in anticlockwise direction on a circle with centre at origin, to reach a point `z_2` The point `z_2` is given by

A

`6+7i`

B

`-7+6i`

C

`7+6i`

D

`-6+7i`

Text Solution

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The correct Answer is:
D
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