JEE Main Mathematics question

MathematicsStraight LinesJEE Main

A straight line passing through meet the coordinate axes at and . It is given that distance of this straight line from the origin '' is maximum. Area of is equal to

Answer: (A)

Solution

The distance from to a line through is greatest when the line is perpendicular to ; has slope , so the line has slope :

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Question ID VK-024465