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Complex Numbers question

2008 · Shift 2 · Q24

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PYQ Library
JEE Advanced
Mathematics
Complex Numbers
2008 · Shift 2 · Q24

Complex Numbers question

2008 · Shift 2 · Q24

JEE AdvancedMathematicsComplex NumbersMCQ+3 / −1

A particle P stats from the point

{z_0}

= 1 +2i, where

i = \sqrt { - 1}

. It moves horizontally away from origin by 5 unit 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 i + \hat j

and then it moves through an angle

{\pi \over 2}

in anticlockwise direction on a circle with centre at origin, to reach a point

{z_2}

. The point

{z_2}

is given by

A
6 + 7i
B
-7 + 6i
C
7 + 6i
D
- 6 + 7i

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