# The area of the triangle on the complex plane formed by the complex numbers z, –iz and z + iz is ______. - Mathematics

MCQ
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The area of the triangle on the complex plane formed by the complex numbers z, –iz and z + iz is ______.

#### Options

• |z|2

• |barz|^2

• |z|^2/2

• None of these

#### Solution

The area of the triangle on the complex plane formed by the complex numbers z, –iz and z + iz is underlinebb(|z|^2/2).

Explanation:

Let z = x + iy.

Then –iz = y – ix.

Therefore, z + iz = (x – y) + i(x + y)

Required area of the triangle = 1/2(x^2 + y^2) = |z|^2/2.

Concept: Algebraic Operations of Complex Numbers
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#### APPEARS IN

NCERT Mathematics Exemplar Class 11
Chapter 5 Complex Numbers and Quadratic Equations
Solved Examples | Q 30 | Page 89

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