JEE Main 2025 Mathematics question
If A and B are the points of intersection of the circle and the hyperbola and a point P moves on the line 2x – 3y + 4 = 0, then the centroid of ΔPAB lies on the line :
Answer: (4)
Solution
A(6,√12), B(6,–√12). With centroid (h,k) and P on given line, derivation gives 6x–9y=20