JEE Main 2026 Mathematics question
Let the line x−y=4 intersect the circle C : (x−4)²+(y+3)²=9 at the points Q and R. If P(α,β) is a point on C such that PQ=PR, then (6α+8β)² is equal to .
Answer: 18
Solution
PQ=PR puts P on the perpendicular bisector of chord QR, i.e. the line through the centre (4,−3) perpendicular
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