On this page, you will find Coordinate Geometry Class 10 Notes Maths Chapter 7 Pdf free download. CBSE NCERT Class 10 Maths Notes Chapter 7 Coordinate Geometry will seemingly help them to revise the important concepts in less time.

## CBSE Class 10 Maths Chapter 7 Notes Coordinate Geometry

### Coordinate Geometry Class 10 Notes Understanding the Lesson

Distance formula

1. The distance between two points A(x_{1}, y_{1}) and B(x_{2}, y_{2}) is

2. The distance of point A(x, y) from origin 0(0, 0) is

\(\mathrm{AO}=\sqrt{x^{2}+y^{2}}\)

3. Three given points will form:

- Right angled triangle if sum of squares of any two sides is equal to the square of third (largest) side.
- Equilateral triangle if length of all three sides are equal.
- Isosceles triangle if length of any two sides are equal.
- A line or collinear if sum of two sides is equal to third side.

4. Four given points will form:

- Square if length of all four sides are equal and diagonals are equal.
- Rhombus if length of all four sides are equal.
- Rectangle if opposite sides are equal and diagonals are equal.
- Parallelogram if opposite sides are equal.

Section formula

I. If A(x_{1}, y_{1}) and BB(x_{2}, y_{2})) are two points on a plane and P(x, y) divides AB internally in the ratio m : n, then co-ordinates of P are given by

Area of a Triangle

1. Area of ΔABC formed by vertices A(x_{1}, y_{1}), B(x_{2}, y_{2}) and C(x_{3}, y_{3}) is given by

Ar(ΔABC) =\(\frac{1}{2}\) (- y_{3}) + x_{2 }(y_{3} – y_{1})+ x_{3}(y_{1} – y_{2})]

[Only positive numerical value to be taken]

2. If Ar(ΔABC) = 0, then A, B and C are collinear points.

3. If‘C’ is centroid of a triangle, the median is divided in the ratio 2 : 1 by C and coordinates of C are

\(\left(\frac{x_{1}+x_{2}+x_{3}}{3}, \frac{y_{1}+y_{2}+y_{3}}{3}\right)\)

4. Area of quadrilateral LMNO = ar(ΔLMO) + ar(ΔNMO)