JEE Main 2025 Mathematics question
Let the area of a ΔPQR with vertices P(5, 4), Q(–2, 4) and R(a, b) be 35 square units. If its orthocenter and centroid are and C(c, d) respectively, then c + 2d is equal to
Answer: (2)
Solution
Finding R = (2, -6) using altitude equations, then centroid = (5/3, 2/3), giving c+2d=3.