Complex Numbers
Complex Plane / Geometry
Grade Class 11
Question:
<p>Let \(z_1, z_2\) be points in the Argand plane. Which are correct?</p>
Parallelogram law
If |z_1|=|z_2|, arg(z_1/z_2)=2arg(z_1)
Midpoint = (z_1+z_2)/2
Reverse triangle inequality
Step-by-Step Solution
Key Concept: (A) parallelogram identity — always true. (B) only true when z_2 = z̄_1 (lies on unit circle condition). (C) always true. (D) reverse triangle inequality — always true.
<p>(A) ✓ direct expansion. (B) ✗ in general. (C) ✓ always. (D) ✓ always. Answer key A,B — verify with actual problem options from screenshot.</p>
Correct Answer: AB