A particle P starts from the point z_0 = 1+2i, where i = \sqrt{-1} . It moves first horizontally away fromorigin by 5 units and then vertically away from origin by 3 units to reach a point z_1. From z_1 theparticle moves \sqrt2 units in the direction of the vector i^{\^}+j^{\^} and, then it moves through an angle \pi/2 inanti clockwise direction on a circle with centre at origin, to reach a point z_2. The point z_2 is given by

JEE Mains Model Paper 19

Question : 31 of 90

Marks: +1, -0

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

and, then it moves through an angle

inanti clockwise direction on a circle with centre at origin, to reach a point z2. The point z2 is given by

6 + 7i
−7 + 6i
7 + 6i
−6 + 7i

Validate

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