You can Download Samacheer Kalvi 9th Maths Book Solutions Guide Pdf, Tamilnadu State Board help you to revise the complete Syllabus and score more marks in your examinations.

Tamilnadu Samacheer Kalvi 9th Maths Solutions Chapter 5 Coordinate Geometry Ex 5.4

Question 1.
Find the coordinates of the point which divides the line segment joining the points
A (4, -3) and B (9, 7) in the ratio 3 : 2.
Solution:
Samacheer Kalvi 9th Maths Chapter 5 Coordinate Geometry Ex 5.4 1

Question 2.
In what ratio does the point P (2, -5) divide the line segment joining A (-3, 5) and B (4, -9).
Solution:
Samacheer Kalvi 9th Maths Chapter 5 Coordinate Geometry Ex 5.4 2

Question 3.
Find the coordinates of a point P on the line segment joining A(1, 2) and B (6, 7) in such a way that AP = \(\frac{2}{5}\)AB.
Solution:
Samacheer Kalvi 9th Maths Chapter 5 Coordinate Geometry Ex 5.4 3

Question 4.
Find the coordinates of the points of trisection of the line segment joining the points A (-5, 6) and B (4, -3).
Solution:
Samacheer Kalvi 9th Maths Chapter 5 Coordinate Geometry Ex 5.4 4
Samacheer Kalvi 9th Maths Chapter 5 Coordinate Geometry Ex 5.4 5

Samacheer Kalvi 9th Maths Solutions Chapter 5 Coordinate Geometry Ex 5.4

Question 5.
The line segment joining A(6, 3) and B(-1, -4) is doubled in length by adding half of AB to each end. Find the coordinates of the new end points.
Solution:
Samacheer Kalvi 9th Maths Chapter 5 Coordinate Geometry Ex 5.4 6
Samacheer Kalvi 9th Maths Chapter 5 Coordinate Geometry Ex 5.4 7
Similarly by Mid point of DM = A(6, 3)
Samacheer Kalvi 9th Maths Chapter 5 Coordinate Geometry Ex 5.4 50

Question 6.
Using section formula, show that the points A(7, -5), B(9, -3) and C(13, 1) are collinear.
Solution:
Samacheer Kalvi 9th Maths Chapter 5 Coordinate Geometry Ex 5.4 9∴ AB + BC = AC, Here B is the common Point. ∴ A, B, C are collinear

Samacheer Kalvi 9th Maths Solutions Chapter 5 Coordinate Geometry Ex 5.4

Question 7.
A line segment AB is increased along its length by 25% by producing it to C on the side of B. If A and B have the coordinates(-2, -3) and (2, 1) respectively, then find the coordinates of C.
Solution:
Samacheer Kalvi 9th Maths Chapter 5 Coordinate Geometry Ex 5.4 10
P is at 25% distance from B on its left and C is at 25% distance from B on its right.
∴ B is the mid point of PC
Samacheer Kalvi 9th Maths Chapter 5 Coordinate Geometry Ex 5.4 11

Leave a Reply

Your email address will not be published. Required fields are marked *