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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