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State True or False for the following: Multiplication of a non-zero complex number by –i rotates the point about origin through a right angle in the anti-clockwise direction.

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Question

State True or False for the following:

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

Options

  • True

  • False

MCQ
True or False
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Solution

This statement is False.

Explanation:

Let z = x + yi

z.i = (x + yi)i = xi – y

Which rotates at angle of 180°.

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Chapter 5: Complex Numbers and Quadratic Equations - Exercise [Page 93]

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NCERT Exemplar Mathematics Exemplar [English] Class 11
Chapter 5 Complex Numbers and Quadratic Equations
Exercise | Q 26.(ii) | Page 93

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