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If the area of the triangle on the complex plane formed by the points z, z + iz and iz is 50, then |z| is

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UP TGT Mathematics 2016 Official Paper
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  1. 1
  2. 5
  3. 10
  4. 100

Answer (Detailed Solution Below)

Option 3 : 10
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Detailed Solution

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Formula:

Area of the triangle = (1/2) × |z|2

Calculation:

Three points z, z + iz, and iz on the complex plane.

Area of the triangle formed on the complex plane = 50

⇒ 50 = (1/2) × |z|2

⇒ 100 = |z|2

⇒ |z| = 10

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