Chapter 17: Co-ordinate Geometry

Example 3. The coordinates of the mid-point of the line joining the points (2p + 2, 3) and (4, 2q + 1) are (2p, 2q). Find the value of p and q.

Solution:-

Let the given points be A (2p + 2, 3), B(4, 2q + 1) and C (2p, 2a)

Co-ordinates of C are

Example 4. Find the ratio in which the line-segment joining the points (6, 4) and (1, -7) is divided by x-axis.

Solution:-

Let the two points A (6, 4) and B (1, -7), be divided by x-axis at C (x, 0)

Let AC : CB = K : 1

Co-ordinates of C are

As C lies on x-axis

 

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