Prove that the points '(1,3),(2,5)' '(3,7)' are on the same line.

We have seen that the points (3,5),(6,7),(9,9) are points on the same line. is there any relation between the 'x' coordinates 3,6 .and 9 of these points? What about the y coordinates 5,7,9 ? Can you find some more points on this line with natural number coordinates?

Prove that the points (2,3), (7,5),(9,8), (4,6) are the corners of a parallelogram.

Prove that the points. '(3,-2),(7,6)', '(-1,2),(-5,-6)' form the vertices of a rhombus.

Show that the points (2,3,4), (-1,-2,1), (5,8,7) are colinear

By using the concept of equation of a line, prove that the three points (3,0),(-2,-2) and (8,2) are collinear.

By using the concept of equation of a line, prove that the three points (3,0) , (-2,-2) and (8,2) are collinear.

Show that the points (-2,3,5) , (1,2,3) and (7,0,-1) are collinear.

Show that the line through the points (1,-1,2), (3,4,-2) is perpendicular to the line through the points (0,3,2) and (3,5,6).

Prove that '(9,3),(7,-1),(1,-1)' are the points on the circle with centre '(4 , 3)'.

Using section formula, prove that the three points A(-2,3,5), B(1,2,3) and C (7,0,-1) are collinear.