Two perpendiculars can be drawn to a given line from a point not lying on it.

All the line segment that can be drawn to a given line; from a point; not lying on it; the perpendicular line segment is the shortest.

Of all the line segments that can be drawn to a given line, from a point, not lying on it, the perpendicular line segment is the shortest. GIVEN : A straight line l and a point P not lying on ldot P M_|_l and N is any point on 1 other than Mdot TO PROVE : P M

Infinitely many perpendiculars can be drawn to a given ray.

Only one perpendicular bisector can be drawn to a given line segment.

Infinitely many perpendicular bisectors can be drawn to a given ray.

How many lines can be drawn which are perpendicular to a given line and pass through a given point lying (i) outside it? (ii) on it?

How many lines can be drawn through a given point.

There are five points in a plane. From each point, perpendicular are drawn to the lines joining the other points. What is the maximum numbers of points of intersection of these perpendiculars.

Statement I two perpendicular normals can be drawn from the point (5/2,-2) to the parabola (y+1)^2=2(x-1) . Statement II two perpendicular normals can be drawn from the point (3a,0) to the parabola y^2=4ax .