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Analytical Geometry

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 Joined: 19 Jun 2012 Post: 6
22 Jun 2012 19:37:37 IST
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Engineering Entrance , JEE Main , JEE Advanced , Mathematics , Analytical Geometry

A line ‘L’ is drawn from P (4, 3) to meet the lines L1 :3x + 4y +5=0 and L2 : 3x+4y+15=0 at point A & B respectively . From ‘A’ a line perpendicular to L is drawn meeting the line L2 at  A1 , Similarly from point ‘B’ a line perpendicular to L is drawn meeting the line L1 at  B1 . Thus a parallelogram AA1BB1 is formed. Find the equation (s) of ‘L’ so that the area of the parallelogram AA1BB1 is least.

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