Problem

Problem

A line LL is drawn from P(4,3)P(4, 3) to meet the lines L1:3x+4y+5=0L_1: 3x + 4y + 5 = 0 and L2:3x+4y+15=0L_2: 3x + 4y + 15 = 0 at point AA and BB respectively. From AA a line, perpendicular to LL is drawn meeting the line L2L_2 at A1A_1. Similarly from point BB a line, perpendicular to LL is drawn meeting the line L1L_1 at B1B_1. Thus a parallelogram AA1BB1AA_1BB_1 is formed. Find the equation(s) of LL so that the area of the parallelogram AA1BB1AA_1BB_1 is least.

Browse the problem library