JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

A particle

P

starts from the point

z_0=1+2 i, i=\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

z_1

. From

z_1

, the particle moves

\sqrt{2}

units in the direction of the vector

\hat{\mathbf{i}}+\hat{\mathbf{j}}

and then it moves through an angle

\frac{\pi}{2}

in anti-clockwise direction on a circle with centre at origin, to reach a point

z_2

, then the point

z_2

is given by

View answer and explanation

Correct option: D

-6+7 i

Option D (-6+7 i) is correct because it represents the final position of the particle after all the described movements.

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