Write the slope of the st. line, which is perpendicular to x + 2y= 4.

Find the equation of the line, which is perpendicular to 5x- 2y = 7 and passes through the mid-point of the line joining (2, 7) and (- 4, 1).

Find the general equation of the line which is perpendicular to x+y+4=0 . Also find such line through the point (1,2)

Prove that the equation of the st. line perpendicular to Ax + By + C = 0 and passing through (x_1,y_1) is Bx- Ay = Bx_1 - Ay_1 .

Find the equation of the st. line, which has length of perpendicular segment from the origin to the line 4 units and the inclination of the perpendicular segment with the positive direction of x-axis is 30^@ .

Find the equation of a line that is perpendicular to 3x + 2y = 8 and passes through the mid-point of the line segment joining : (2, 7) and (- 4, 1).

Write the equations for the family of lines perpendicular to 2x-5y- 6 = 0.

The line of greatest slope on an inclined plane P_1 is the line in the plane P_1 which is perpendicular to the line of intersection of the plane P_1 and a horizontal plane P_2 . Q. The coordinate of a point on the plane 2x+y-5z=0, 2sqrt(11) unit away from the line of intersection of 2x+y-5z=0 and 4x-3y+7z=0 are

Find the equation of the line perpendicular to the line 2x+y -1 = 0 through the intersection of the lines x+2y -1= 0 and y=x.

Find the equation of the st. line joining the points (3, -1) and (2, 3). Also find the equation of another st. line perpendicular to this st. line and passing through (5, 2).

Find the equation of the line perpendicular to the line x - 2y + 3 = 0 and having intercept 3 on x-axis.