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 i^{\^}+j^{\^} and then it moves through an angle π/2 in anticlockwise direction on a circle with centre at origin, to reach a point z_2. The point z_2 is given by [JEE Adv 2008 P2]

IIT JEE Advanced 2008 Paper 2

Section: Mathematics

Question : 53 of 66

Marks: +1, -0

A particle P starts from the point z0 = 1 + 2i, where i = √−1. It moves first horizontally away from origin by 5 units and then vertically away from origin by 3 units to reach a point z1. From z1 the particle moves √2 units in the direction of the vector

and then it moves through an angle π/2 in anticlockwise direction on a circle with centre at origin, to reach a point z2. The point z2 is given by

[JEE Adv 2008 P2]

6 + 7i
- 7 + 6i
7 + 6i
- 6 + 7i

Validate

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