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NTA Abhyas JEE Main2020MathematicsComplex NumberPractice

The minimum value of the expression 3 z - 3 + 2 z - 4 is equal to (where, z is a complex number)

Options

  1. A2
  2. B1.5
  3. C3
  4. D1

Correct answer

A. 2

Step-by-step solution

Given expression is, 3 z - 1 + 2 z - 2 = z - 1 + 2 z - 1 + z - 2 Now, minimum z - 1 + z - 2 is equal to 1 when z lies on the line segment joining 1 & 2 and minimum z - 1 is equals to 0 , when z = 1 ⇒ Minimum of z - 1 + 2 z - 1 + z - 2 is equal to 0 + 2 1 = 2 at z = 1

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