JEE Main 2024 Mathematics question
Let the maximum and minimum values of , x ∈ R be M and m respectively. Then M² − m² is equal to .
Answer: 1600
Solution
With y = √(8x − x² − 12), the point (x, y) lies on the upper semicircle (x − 4)² + y² = 4, and the expression is its squared distance from (7, 4). The farthest point on this
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