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A particle starts from a point z0=1+i wh...

A particle starts from a point `z_0=1+i` where `i=sqrt(-1)`. lt moves horizontally away from origin by 2 units and then vertically away from origin by 3 units to reach a point `z_1`, From `z_1` particle moves `sqrt5` units in the direction of `2hat i+3hatj` and then it moves through àn angle of `cosec^(-1) 2` in anticlockwise direction of a circle with centre at origin to reach a point `z_2`. The arg `z_1` is given by

A

(2, 3)

B

`((4)/(3),(2)/(5))`

C

`((2)/(5),1)`

D

`((4)/(3),3)`

Text Solution

Verified by Experts

The correct Answer is:
B
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