JEE Main 2024 Mathematics question

MathematicsStraight LinesJEE Main 2024

A variable line L passes through the point (3, 5) and intersects the positive coordinate axes at the points A and B. The minimum area of the triangle OAB, where O is the origin, is :

Answer: (A)

Solution

Let the line be x/a + y/b = 1 with 3/a + 5/b = 1, so b = 5a/(a − 3) (a > 3). Area = ½ab =

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Question ID VK-016542