Chapter 17: Co-ordinate Geometry

Example 5. Prove that coordinates of the centroid of a triangle ABC, with vertices (x1 y1), (x2, y2) and (x3, y3) are given by

Solution:-

Let the vertices of triangles be A(x1, y1), B(x2, y2) and C(x3, y3)

Let D be the mid-point of BC.

Co-ordinates of D are

Let centroid of triangle ABC be G.

Co-ordinates of G are

Example 6. Find the value of m for which the points with co-ordinates (3, 5), (m, 6) and (1/2, 15/2) are collinear.

Solution :- Let the three points be A (3, 5) B (m, 6) and (1/2, 15,2)

As points A, B and care collinear

 

Maths by Mr. M. P. Keshari
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Subjects Maths (Part-1) by Mr. M. P. Keshari
Chapter 9 Circle
Chapter 10 Tangents to a circle
Chapter 11 Geometrical Construction
Chapter 12 Troigonometry
Chapter 13 Height and Distance
Chapter 14 Mensuration
Chapter 15 Statistics
Chapter 16 Probability
Chapter 17 Co-ordinate Geometry