In Q.4, point C is called a midpont of line segment AB. Prove that every line segment has one and only one midpoint.

Find the mid point of the line segment joining the points (3, 0) and (-1, 4)

Let ngeq2 be integer. Take n distinct points on a circle and join each pair of points by a line segment. Color the line segment joining every pair of adjacent points by blue and the rest by red. If the number of red and blue line segments are equal, then the value of n is

AD and BC are equal and perpendiculars to a line segment AB. Show that CD bisects AB.

(5, 2) is the mid point of the line segment intercepted between axes then equation of line is…..........

In a parallelogram ABCD, E and F are the midpoints of the sides AB and DC respectively. Show that the line segments AF and EC trisect the diagonal BD.

If (3//2,5//2) is the mid-point of line-segment intercepted by a line between axes, then the equation of the line is

A Tangent to a circle is a line which touches the circle at only one point.

The end points of a line segment are (2, 3), (4, 5). Find the slope of the line segment.

In the given figure, AB and DC are both perpendicular to line segment AD. BC intersects AD at P and P is the midpoint of AD. Prove that, ( 1 ) AB = CD ( 2 ) P is the midpoint of BC.

Some points are plotted on a plane such that any three of them are non collinear. Each point is joined with all remaining points by line segments. Find the number of points if the number of line segments are 10.