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JEE Advanced Mathematics question

MathematicsStraight LinesJEE Advanced

A variable line through the point cuts the axes of reference at A and B respectively. The lines through A and B parallel to the -axis and the -axis respectively meet at P. Then the locus of P has the equation

Answer: (C)

Solution

Let the line have intercepts : , , equation . The line through A parallel to the -axis is ; the line through B parallel

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Question ID VK-108827