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 5.3

9th Maths Exercise 5.3 Solution Question 1.
Find the mid-points of the line segment joining the points
(i) (-2, 3) and (-6, -5)
(ii) (8, -2) and (-8, 0)
(iii) (a, b) and (a + 2b, 2a – b)
(iv) \(\left(\frac{1}{2},-\frac{3}{7}\right)\) and \(\left(\frac{3}{2}, \frac{-11}{7}\right)\)
Solution:
9th Maths Exercise 5.3 Solution Chapter 5 Coordinate Geometry Samacheer Kalvi
9th Maths Exercise 5.3 Solutions Chapter 5 Coordinate Geometry Samacheer Kalvi

9th Maths Exercise 5.3 Question 2.
The centre of a circle is (-4, 2). If one end of the diameter of the circle is (-3, 7) then find the other end.
Solution:
9th Maths Exercise 5.3 Samacheer Kalvi Chapter 5 Coordinate Geometry
∴ The other end is (-5, -3)

9th Maths Exercise 5.3 Samacheer Kalvi Question 3.
If the mid-point (x, y) of the line joining (3, 4) and (p, 7) lies on 2x + 2y + 1 = 0, then
what will be the value of p?
Solution:
9th Maths 5.3 Solutions Chapter 5 Coordinate Geometry Samacheer Kalvi

9th Maths 5.3 Question 4.
The midpoint of the sides of a triangle are (2, 4), (-2, 3) and (5, 2). Find the coordinates of the vertices of the triangle.
Solution:
Ex 5.3 Class 9 Samacheer Kalvi Maths Solutions Chapter 5 Coordinate Geometry
Coordinate Geometry Class 9 Exercise 5.3 Chapter 5 Samacheer Kalvi
Class 9 Maths Exercise 5.3 Solution Chapter 5 Coordinate Geometry Samacheer Kalvi
Ex 5.3 Class 9 Maths Solutions Chapter 5 Coordinate Geometry Samacheer Kalvi

Ex 5.3 Class 9 Samacheer Question 5.
O(0, 0) is the centre of a circle whose one chord is AB, where the points A and B are (8, 6) and (10, 0) respectively. OD is the perpendicular from the centre to the chord AB. Find the coordinates of the mid-point of OD.
Solution:
Class 9th Maths Chapter 5 Exercise 5.3 Coordinate Geometry Samacheer Kalvi

Coordinate Geometry Class 9 Exercise 5.3 Question 6.
The points A (-5, 4), B (-1, -2) and C(5, 2) are the vertices of an isosceles right¬angled triangle where the right angle is at B. Find the coordinates of D so that ABCD is a square.
Solution:
9th Class Math Exercise 5.3 Solution Chapter 5 Coordinate Geometry Samacheer Kalvi

Class 9 Maths Exercise 5.3 Solution Question 7.
The points A(-3, 6), B(0, 7) and C(1, 9) are the mid points of the sides DE, EF and FD of a triangle DEF. Show that the quadrilateral ABCD is a parallelogram.
Solution:
In a parallelogram diagonals bisect each other and diagonals are not equal.
Samacheer Kalvi 9th Maths Chapter 5 Coordinate Geometry Ex 5.3 11
Samacheer Kalvi 9th Maths Chapter 5 Coordinate Geometry Ex 5.3 12
Exercise 5.3 Class 9 Maths Solutions Chapter 5 Coordinate Geometry Samacheer Kalvi

Exercise 5.3 Class 10 Samacheer Kalvi Question 8.
A (-3, 2), B (3, 2) and C(-3, -2)are the vertices of the right triangle, right angled at A. Show that the mid point of the hypotenuse is equidistant from the vertices.
Solution:
9th Class Maths Exercise 5.3 Solution Chapter 5 Coordinate Geometry Samacheer Kalvi
Hence proved

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