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JEE Main 2012 Mathematics question

MathematicsStraight LinesJEE Main 2012

A line is drawn through the point (1, 2) to meet the coordinate axes at P and Q such that it forms a triangle OPQ, where O is the origin. If the area of the triangle OPQ is least, then the slope of the line PQ is

Answer: (3)

Solution

Line through (1, 2): . By AM–GM, , with

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Question ID VK-103783