CircleHard
Question
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 
in anticlockwise direction on a circle with centre at origin, to reach a point z2. The point z2 is given by
and then it moves through an angle in anticlockwise direction on a circle with centre at origin, to reach a point z2. The point z2 is given byOptions
A.6 + 7i
B.- 7 + 6i
C.7 + 6i
D.- 6 + 7i
Solution
z0 ≡ (1 + 2i)
z1 ≡ (6 + 5i)
z2 ≡ (-6 + 7i).
z1 ≡ (6 + 5i)
z2 ≡ (-6 + 7i).
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