JEE Main 2024 Mathematics question
Let PQ be a chord of the parabola y² = 12x and the midpoint of PQ be at (4, 1). Then, which of the following point lies on the line passing through the points P and Q?
Answer: (D)
Solution
The chord with midpoint (4, 1) is T = S₁: y − 6(x + 4) = 1 − 48, i.e. y = 6x − 23, which passes through (1/2, −20).