Question
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 ?
NDA
Mathematics
Complex Number
2026
NDA 2026 (Phase 1)
NDA Mathematics Question (2026) — Solution
Options
- A. None
- B. One
- C. Two
- D. All the three
Answer
A. None
Step-by-step solution
The field of complex numbers cannot be ordered. Inequalities such as z_1 > z_2 or z_1 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
Related: Mathematics — Complex Number · All PYQ Banks