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JEE Advanced Mathematics question

MathematicsStraight LinesJEE Advanced

A family of lines is given by , being the parameter. The line belonging to this family at the maximum distance from the point is

Answer: (C)

Solution

Rewrite as : every member passes through the intersection of and , i.e. . The distance from to a line through is at most , with equality when the line is perpendicular to . Slope

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Question ID VK-108806