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JEE Main 2015 Mathematics question

MathematicsStraight LinesJEE Main 2015

Let be the line passing through the point such that its intercepted segment between the co-ordinate axes is bisected at . If is the line perpendicular to and passing through the point , then the point of intersection of and is

Answer: (2)

Solution

If the intercepts are and and is their midpoint, then and , so , . Hence , i.e. , with slope . The perpendicular has slope and passes through :

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Question ID VK-115291