JEE Main 2025 Mathematics question
Let ABC be a triangle formed by the lines 7x – 6y + 3 = 0, x + 2y –31 = 0 and 9x –2y–19 = 0, Let the point (h,k) be the image of the centroid of ΔABC in the line 3x + 6y –53 = 0. Then is equal to :
Answer: (1)
Solution
Vertices A(9,11), B(3,4), C(5,13). Centroid = (17/3, 28/3). Image in line gives h=3, k=4. .