JEE Main 2024 Mathematics question
If (a, b) be the orthocentre of the triangle whose vertices are (1, 2), (2, 3) and (3, 1), and , , then is equal to :
Answer: (B)
Solution
The altitude through C(3, 1) is perpendicular to AB (slope 1), so it is x + y = 4. The orthocentre (a, b) lies on it, so a + b = 4. Using ∫ₐᵇ f(x)dx
See the full step-by-step solution
Create a free account to read the complete working, and practise questions like this in a timed test.
Create a free account