The locus of the mid-points of the perpendiculars drawn from points on the line `x=2y` to the line `x=y` is:

The locus of midpoints of the perpendiculars drawn from points on line x=2y to the line x=y is L_(1) .Suppose (h,k) lies on L_(1) .If line L_(2) passing through the points (h,k) and (4, 3) is perpendicular to L_(1) ,then the value of 7h+5k is

The pedal points of a perpendicular drawn from origin on the line 3x+4y-5=0, is

The coordinates of the foot of the perpendicular drawn from the point (3,4) on the line 2x +y-7 =0 are

Let P be a variable point on the parabola y = 4x ^(2) +1. Then, the locus of the mid- point of the point P and the foot of the perpendicular drawn from the point P to the line y =x is:

Find the coordinates of the foot of the perpendicular drawn from the point (2,3) to the line y=3x+4

Let P be the foot of perpendicular drawn from a point Q on the line x + y +4 = 0 to the line 5x + y = 0. If P is the image of point R(12, 0) about the line x + y = 2, then coordinates of Q are

Let P be the foot of perpendicular drawn from a point Q on the line x + y +4 = 0 to the line 5x + y = 0. If P is the image of point R(12, 0) about the line x + y = 2, then coordinates of Q are

Foot of the perpendicular drawn from the origin to the line x-2 = (y+3)/(-2) = z is point

The foot of the perpendicular drawn from the point (7, 8) to the line 2x + 3y – 4 = 0 is -