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NDA2026MathematicsComplex NumberActual

Consider the following inequalities : I. 1+4i>3+2i II. 2+3i III. 4+3i>3+4i where i= -1 How many of the above are valid ?

Options

  1. ANone
  2. BOne
  3. CTwo
  4. DAll the three

Correct answer

A. None

Step-by-step solution

The field of complex numbers cannot be ordered. Inequalities such as z₁ > z₂ or z₁ Since all the given inequalities involve complex numbers with non-zero imaginary parts, they are mathematically meaningless. Therefore, none of the given inequalities are valid. Answer: None

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