NCERT Solutions for Class 10 Maths Chapter 7 - Coordinate Geometry

In section 7.2, A is (4,0) and B is (6,0).

AB² = (6 - 4)² - (0 - 0)²  = 4

AB = 2

Three non collinear points will represent the vertices of an isosceles triangle, if its two sides are of equal length.

From the figure coordinates of points A, B, C and D are 

A = (3, 4), B = (6, 7), C = (9, 4), D = (6, 1)

Here all sides of this quadrilateral are of different length. So, we can say that it is only a general quadrilateral not specific like square, rectangle etc.  

(iii)    Let A = (4, 5), B = (7, 6), C = (4, 3), D = (1, 2)

Here opposite sides of this quadrilateral are of same length but diagonals are of different length. So, given points are vertices of a parallelogram.      

If the ratio in which P divides AB is k:1 , then the co-ordinates of the point P will be

Concept Insight:

Use the property of a parallelogram that the diagonals of a Parallelogram bisects each other for finding the values of a and y.

So, D and E are two points on side AB and AC respectively such that they divide side AB and AC in the ratio 1:3

Coordinates of the point P(x,y) which divides the line segment joining the points points A(x₁,y₁) and B(x₂,y₂) internally in the ratio m₁:m₂ are