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

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

Chapter No Chapter 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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