JEE Advanced Mathematics question

MathematicsStraight LinesJEE Advanced

A variable line is drawn through the point so as to form a triangle of area . If are of the same sign then the least value of is

Answer: (C)

Solution

The line meets the axes at , ; with the area of the triangle with the axes is . The line passes through :

+ = 1.

Since have the same sign and the sum is , both

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Question ID VK-109978