Find the condition that the point `(x ,\ y)` may lie on the line joining `(3,\ 4)` and `(-5,\ -6)` .

Find the condition that the point (x,y) may lie on the line joining (1,2) and (5,-3).

Find the value ofa, so that the point (8, a) lie on the line 2x-3y =5.

Find the condition that the point (h, k) may lie on the curve x^(2)+y^(2)+5x+11y-2=0 .

Find the mid point of the line segment joining (3,6) and (5,-2).

Find the mid point of the line segment joining (3,6) and (5,-2).

Find the mid point of the line joining the points (7, 6) and (-3, -4) .

Find the equation of the line passing through the point (-4, -5) and perpendicular to the line joining the points (1, 2) and (5, 6).

Find the midpoint of the line joining the points (7, 6) and (-3, -4) .