JEE Main 2024 Mathematics question
Let the circles C₁ : (x − α)² + (y − β)² = r₁² and C₂ : (x − 8)² + = r₂² touch each other externally at the point (6, 6). If the point (6, 6) divides the line segment joining the centres of the circles C₁ and C₂ internally in the ratio 2 : 1, then (α + β) + 4(r₁² + r₂²) equals
Answer: (B)
Solution
Dividing internally 2 : 1 (from C₁): 6 = (2·8 + α)/3 and 6 = (2·15/2 + β)/3, so α
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