Two lines l and m are intersect at the point O is a point on a line n passng through the passed O such that P is equidistant from l and m. find than n is the bisector of the angle formed by l and m.

AB is a line segment and line l is its perpendicular bisector. If a point P lies on l, show that P is equidistant from A and B.

In fig. if lines l and m are parallel lines then x=

In fig. lines l and m are parallel, then the value of x

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.

If P is any point on the plane l x+m y+n z=pa n dQ is a point on the line O P such that O P.O Q=p^2 , then find the locus of the point Qdot

Line l is the bisector of an angle angleA and B is any point on l. BP and BQ are perpendiculars from B to the arms of angleA show that: BP=BQ or B is equidistant from the arms of angleA

l ||m and transversal n intersects them thus value of x will be

l and m are two parallel line intersects by another point of parallel lines p and q show that triangle ABC equiv triangleCDA

In a plane there are 37 straight lines, of which 13 passes through the point A and 11 passes through point B. Besides, no three lines passes through one point no line passes through both points A and B and no two are parallel, then find the number of points of intersection of the straight line.