The portion of a line between axis is divided by point (-5,4) in the ratio 1 : 2.The equation of line is

Lines (a - b ) x + (b - c) y + (c - a) = 0,  (b - c ) x + (c - a) y + (a - b) = 0,  (c - a ) x + (a - b) y + (b - c ) = 0 are

If lines x + 2ay + a = 0, x + 3by + b = 0 and x + 4cy + c = 0 are concurrent,then a,b,c, are in

The distance between lines 3x + 4y = 9 and 6x + 8y = 15 is.

The equation of two lines which pass through the point (3,2) and make angle of 45^o with the line x - 2y = 3 are

The lines ax + by + c + = 0 , bx + cy + a = 0 and cx + ay + b = 0  are concurrent, if

The ortho centre of the triangle formed by vertices (0,0) , (8,0) and (4,6) is

The coordinates of mid - point of portion of line cut by coordinates axis are (3,2) , the equation of the line is

The angle between lines and is.

If line passing through (4,3) and (2,k) is perpendicular to y = 2x + 3 then k =