In Question 4, point 'C' is called a midpoint of line segment AB. Prove that every line segment has one and only one mid point.
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
P( a, b) is the mid-point of a line segment between axes. Show that equation of the line is x/a + y/b = 2 .
Find the mid point of the line segment joining the points (3, 0) and (-1, 4)
Find the position vector of the mid point of the line-segment AB, where A is the point (3, 4, -2) and B is the point (1,2,4).
In a parallelogram ABCD, E and F are the mid-points of sides AB and CD respectively. Show that the line segments AF and EC trisect the diagonal BD.
The normal at a point P on the ellipse x^(2)+4y^(2)=16 meets the x-axisat Q. If M is the mid-point of the line segment PQ, then the locus of M intersects the latus-rectum of the given ellipse at the points :
The end points of a line segment are (2, 3), (4, 5). Find the slope of the line segment.
D, E and F are respectively the mid-points of the sides AB, BC and CA of a ΔABC. Prove that by joining these mid-points D, E and F, the ΔABC is divided into four congruent triangles
Two tiny spheres carrying charges 1.5 µC and 2.5 µC are located 30 cm apart. Find the potential and electric field: (a) at the mid-point of the line joining the two charges, and (b) at a point 10 cm from this midpoint in a plane normal to the line and passing through the mid-point.
CPC CAMBRIDGE PUBLICATION-INTRODUCTION TO EUCLID'S GEOMETRY -Exercise 2.2
