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Coordinate Geometry CBSE NCERT Notes Class 10 Maths Chapter 7 PDF

Coordinate-Geometry-CBSE-NCERT-Notes-Class-10-Maths-Chapter-7-PDF

Hi students, Welcome to AMBiPi (Amans Maths Blogs). In this article, you will get Coordinate Geometry CBSE NCERT Notes Class 10 Maths Chapter 7 PDF. You can download this PDF and save it in your mobile device or laptop etc.

Coordinate Geometry CBSE NCERT Notes Class 10 Maths Chapter 7 PDF

Coordinate Geometry

Coordinate geometry has been developed as an algebraic tool for studying geometry. It helps us to study geometry using algebra, and understand algebra with the help of geometry.

Distance Formula

The distance between the points A(x1, y1) and B(x2, y2) is |AB| = √[(x2 – x1)2 + (y2 – y1)2]

Coordinate Geometry CBSE NCERT Notes Class 10 Maths Chapter 7 PDF

Class 10 Maths Chapter 7 Examples 1:

Show that the points (1, 7), (4, 2), (–1, –1) and (– 4, 4) are the vertices of a square.

Let A(1, 7), B(4, 2), C(–1, –1) and D(– 4, 4) be the given points. Then,

Coordinate Geometry CBSE NCERT Notes Class 10 Maths Chapter 7 PDF

Since AB = BC = CD = DA and AC = BD, all the four sides of the quadrilateral ABCD are equal and its diagonals AC and BD are also equal. Therefore, ABCD is a square.

Section Formula

The coordinate of the points dividing the line segment joining the points A(x1, y1) and B(x2, y2) internally in the ratio of m:n is

Coordinate Geometry CBSE NCERT Notes Class 10 Maths Chapter 7 PDF

The coordinate of the points dividing the line segment joining the points A(x1, y1) and B(x2, y2) externally in the ratio of m:n is

Coordinate Geometry CBSE NCERT Notes Class 10 Maths Chapter 7 PDF

Class 10 Maths Chapter 7 Examples 2:

Find the coordinates of the point which divides the line segment joining the points (4, –3) and (8, 5) in the ratio 3 : 1 internally.

Using the section formula, we get

Thus, (7, 3) is the required point.

Area of Triangle

The area of triangle whose coordinates are A(x1, y1)B(x2, y2) and C(x3, y3) then

Coordinate Geometry CBSE NCERT Notes Class 10 Maths Chapter 7 PDF

Class 10 Maths Chapter 7 Examples 3:

Find the area of a triangle whose vertices are (1, –1), (– 4, 6) and (–3, –5).

Area of the triangle formed by the vertices A(1, –1), B(– 4, 6) and C (–3, –5) is 

Coordinate Geometry CBSE NCERT Notes Class 10 Maths Chapter 7 PDF

Click below to get CBSE Class 10 Maths Chapter wise Revision Notes PDF.

Chapter NoChapter name
Chapter 1 :Real Numbers CBSE Class 10 Maths Revision Notes
Chapter 2 :Polynomials CBSE Class 10 Maths Revision Notes
Chapter 3 :Pair of Linear Equations in Two Variables CBSE Class 10 Maths Revision Notes
Chapter 4 :Quadratic Equations CBSE Class 10 Maths Revision Notes
Chapter 5 :Arithmetic Progression CBSE Class 10 Maths Revision Notes
Chapter 6 :Triangles CBSE Class 10 Maths Revision Notes
Chapter 7 :Coordinate Geometry CBSE Class 10 Maths Revision Notes
Chapter 8 :Introduction to Trigonometry CBSE Class 10 Maths Revision Notes
Chapter 9 :Some Applications of Trigonometry CBSE Class 10 Maths Revision Notes
Chapter 10 :Circles CBSE Class 10 Maths Revision Notes
Chapter 11 :Constructions CBSE Class 10 Maths Revision Notes
Chapter 12 :Area Related to Circles CBSE Class 10 Maths Revision Notes
Chapter 13 :Surface Areas & Volumes CBSE Class 10 Maths Revision Notes
Chapter 14 :Statistics CBSE Class 10 Maths Revision Notes
Chapter 15 :Probability CBSE Class 10 Maths Revision Notes

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