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Q.

A particle P  starts from the point z0=1+2i,i=−1 . It moves first horizontally away from origin by 5 units  and 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 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 z2 , the point z2  is given by :

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a

6+7i

b

−7+6i

c

7+6i

d

−6+7i

answer is D.

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Detailed Solution

∵     z0=1+2i ⇒      z1=6+5i ⇒     z2=−6+7i
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