JEE Main 2024 Mathematics question

MathematicsStraight LinesJEE Main 2024

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

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Question ID VK-016728