JEE Main 2025 Mathematics question
Let A = {z ∈ ℂ : |z − 2 − i| = 3}, B = {z ∈ ℂ : Re(z − iz) = 2} and S = A∩B. Then is equal to .
Answer: 22
Solution
Solving A and B gives two solutions; sum of |z|² = (x1²+y1²)+(x2²+y2²) = 22
Let A = {z ∈ ℂ : |z − 2 − i| = 3}, B = {z ∈ ℂ : Re(z − iz) = 2} and S = A∩B. Then is equal to .
Solving A and B gives two solutions; sum of |z|² = (x1²+y1²)+(x2²+y2²) = 22