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in Complex Numbers by (48.8k points)
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State True of False:

Multiplication of a non zero complex number by –i rotates the point about origin through a right angle in the anti-clockwise direction.

1 Answer

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by (50.2k points)
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Best answer

False

Explanation:

Let z = x + iy, where x, y > 0

i.e. z or point A (x, y) lies in first quadrant.

Now, -iz = -I (x + iy)

= -ix – i2y

= y – ix

Now, point B (y, -x) lies in fourth quadrant.

Also ∠AOB = 90°

Thus, B is obtained by rotating A in clockwise direction about origin.

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