P is a point equidistant from two lines l and m intersecting at point A (see Fig. 7.38). Show that the line AP bisects the angle between them.

P is a point equidistant from two lines l and m intersecting at point A (see Fig. ). Show that the line AP bisects angleBAC .

P is a point equidistant from two lines l and m intersecting at point A (see Fig. ). Show that the line AP bisects angleBAC .

AB is a line-segment. P and Q are points on opposite sides of AB such that each of them is equidistant from the points A and B (see Fig. 7.37). Show that the line PQ is the perpendicular bisector of AB.

AD and BC are equal perpendiculars to a line segment AB (see Fig. 7.18). Show that CD bisects AB.

What are inclinations to the x-axis of the st. lines : y=1/3x sqrt3+3 and y=sqrt3x+3 ? Show that the st. line y = x + 3 bisects the angle between them.

How many points can be two distinct lines intersect at the most?

Two parallel lines l and m are intersected by a transversal p (see Fig. 8.15). Show that the quadrilateral formed by the bisectors of interior angles is a rectangle.

If lines l and m intersect at a point Also m and n intersect at a point, is it necessary that lines l,m,n intersect at the same point.

D is a point on side BC of Delta ABC such that AD = AC (see Fig. 7.47). Show that AB > AD.

P is a point on either of the two lines y - sqrt3|x|=2 at a distance 5 units from their point of intersection The coordinates of the foot of the perpendicular from P on the bisector of the angle between them are