A particle P starts from the point z0 = 1 + 2i, where \(\rm i = \sqrt{-1}\). It moves first horizontally away from the 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 î + ĵ to reach z2, and then it moves through an angle \(\rm \frac{\pi}{2}\) in an anti-clock-wise direction on a circle with center at origin, to reach a point z3. The point z3 is given by:

A particle P starts from the point z0 = 1 + 2i, where \(\rm i = \sqrt{

1.	A particle P starts from the point z0 = 1 + 2i, where \(\rm i = \sqrt{-1}\). It moves first horizontally away from the 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 î + ĵ to reach z2, and then it moves through an angle \(\rm \frac{\pi}{2}\) in an anti-clock-wise direction on a circle with center at origin, to reach a point z3. The point z3 is given by:
A.	6 + 7i
B.	-7 + 6i
C.	7 + 6i
D.	-6 + 7i
Answer» E.