The condition that the point (x,y) may lie on the line joining (3,4) and (-5,-6) is (a) 5x-4y+1=0 (b) 5x+4y+1=0 (c) -5x+4y+1=0 (d) -5x-4y+1=0
Since the point P(x,y) lies on the line joining A(3,4) and B(-5,-6),
Therefore, points P, A and B are collinear points.
So, area of triangle PAB = 0
Therefore, we have:
5x-4y+1=0 , which is the required condition.