A particle starts from the point ,

MATHEMATICS · Single correct · CBSE · Mathematics · Complex Numbers and Quadratic Equations · Complex Numbers and Quadratic Equations

Problem

A particle PP starts from the point z0=1+2iz_0 = 1 + 2i , i=−1i = \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 z1z_1 . From z1z_1 , the particle moves 2\sqrt{2} units in the direction of the vector i^+j^\hat{i} + \hat{j} and then it moves through an angle π2\frac{\pi}{2} in anti-clockwise direction on a circle with centre at origin, to reach a point z2z_2 , then the point z2z_2 is given by (1) 6+7i6 + 7i (2) −7+6i-7 + 6i (3) 7+6i7 + 6i (4) −6+7i-6 + 7i

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