Straight Line a...

If the line 2x + 3y = 5 and y = mx + c be parallel, then

The line (3x – y + 5) + λ(2x – 3y – 4) = 0 will be parallel to y-axis, if λ =

The equations of the lines which cuts off an intercept –1 from y-axis and equally inclined to the axes are

A line L is perpendicular to the line 5x – y = 1 and the area of the triangle formed by the line L and coordinate axes is 5. The equation of the line L is

If the coordinates of the points A,B,C,D be (a,b), (a\', b\'), (–a, b) and (a\', –b\') respectively, then the equation of the line bisecting the line segments AB and CD is

If the coordinates of A and B be (1,1) and (5,7), then the equation of the perpendicular bisector of the line segment AB is

If the coordinates of the points A, B, C be (–1, 5), (0,0) and (2,2) respectively and D be the middle point of BC, then the equation of the perpendicular drawn from B to the line AD is

The equation of the line passing through the point (x\' , y\') and perpendicular to the line yy\' = 2a(x + x\') is

If the middle points of the sides, BC, CA and AB of the triangle ABC be (1,3), (5,7) and (–5,7) respectively then the equation of the side AB is

If the coordinates of the vertices of the triangle ABC be (–1, 6), (–3, –9), and (5, –8) respectively, then the equation of the median through C is