JEE Main 2025 Mathematics question
If the orthocenter of the triangle formed by the lines y = x + 1, y = 4x – 8 and y = mx + c is at (3, –1), then m – c is:
Answer: (2)
Solution
Using perpendicularity conditions with orthocenter (3,-1), the line AC comes out as y = 0, leading to m - c = 0.