JEE Main 2024 Mathematics question
Consider a circle (x – α)² + (y – β)² = 50, where α, β > 0. If the circle touches the line y + x = 0 at the point P, whose distance from the origin is 4√2, then (α + β)² is equal to .
Answer: 100
Solution
The circle has radius 5√2. The distance from its centre (α, β) to the line x + y = 0
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