Complex Numbers and Quadratic Equations · Class 11 · CBSE · Science Mathematics

If z = 2 - 3i, where i² = -1, then z multiplied by its conjugate is

Practice question from Complex Numbers and Quadratic Equations (Class 11 · CBSE · Science Mathematics), with the correct answer and a step-by-step solution.

easy · MCQ · Q-FBA39F

If z = 2 - 3i, where i² = -1, then z multiplied by its conjugate is

  1. A.5
  2. B.13Correct answer
  3. C.-13
  4. D.4

Solution

The conjugate of z is 2+3i2+3i. Therefore, zz‾=(2−3i)(2+3i)=22+32=13z\overline{z}=(2-3i)(2+3i)=2^2+3^2=13.

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