The variable coefficients p,q,r in the equation of the staight line `px+qy+r=0` are connected by the relation `pa+qb+rc=0` where a,b,c are fixed constants . Show that the variable line always passes through a fixed point.

The variable coefficients a, b in the equation of the straight line (x)/(a) + (y)/(b) = 1 are connected by the relation (1)/(a^(2)) + (1)/(b^(2)) = (1)/(c^(2)) where c is a fixed constant. Show that the locus of the foot of the perpendicular from the origin upon the line is a circle. Find the equation of the circle.

If lx + my + n = 0 , where l, m, n are variables, is the equation of a variable line and l, m, n are connected by the relation al+bm+cn=0 where a, b, c are constants. Show that the line passes through a fixed point.

If lx + my + n = 0 , where l, m, n are variables, is the equation of a variable line and l, m, n are connected by the relation al+bm+cn=0 where a, b, c are constants. Show that the line passes through a fixed point.

IF a,b,c are in A.P then the striaght line ax+by+c=0 will always pass through a fixed point. Find it.

If a,b,c in GP then the line a^(2)x+b^(2)y+ac=0 always passes through the fixed point

If a, b, c are in A.P, the lines ax+by+c=0 pass through the fixed point

If the sum of the reciprocals of the intercepts made by a variable straight line on the axes of coordinates is a constant, then prove that the line always passes through a fixed point.