JEE Main 2024 Mathematics question
If z₁, z₂ are two distinct complex number such that , then
Answer: (A)
Solution
|z₁ − 2z₂|² = 4|1/2 − z₁z̄₂|² reduces to (|z₁|² − 1)(1 − 4|z₂|²) = 0.
If z₁, z₂ are two distinct complex number such that , then
|z₁ − 2z₂|² = 4|1/2 − z₁z̄₂|² reduces to (|z₁|² − 1)(1 − 4|z₂|²) = 0.