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Analytical Geometry

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Joined:	19 Jun 2012
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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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