You can Download Samacheer Kalvi 10th 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 10th Maths Solutions Chapter 5 Coordinate Geometry Ex 5.1

10th Maths Exercise 5.1 Samacheer Kalvi Question 1.
Find the area of the triangle formed by the points
(i) (1, -1), (-4, 6) and (-3, -5)
(ii) (-10, -4), (-8, -1) and (-3, -5)
Solution:
10th Maths Exercise 5.1 Samacheer Kalvi Chapter 5 Coordinate Geometry
Exercise 5.1 Class 10 Samacheer Kalvi Chapter 5 Coordinate Geometry

(ii) (-10, -4), (-8, -1) and (-3, -5)
10th Maths Exercise 5.1 Chapter 5 Coordinate Geometry
Ex 5.1 Class 10 Samacheer Chapter 5 Coordinate Geometry

Exercise 5.1 Class 10 Samacheer Kalvi Question 2.
Detemine whether the sets of points are collinear ?
Samacheer Kalvi 10th Maths Chapter 5 Coordinate Geometry Ex 5.1 5
Solution:
(i)
10th Maths Coordinate Geometry Exercise 5.1 Samacheer Kalvi
10th Maths Ex 5.1 Chapter 5 Coordinate Geometry
∴ The given points are collinear

10th Maths Exercise 5.1 Question 3.
Vertices of given triangles are taken in order and their areas are provided aside. In each case, find the value of ‘p’.
10th Maths 5.1 Chapter 5 Coordinate Geometry
Solution:
Area 20 sq. units.
Maths Ex 5.1 Class 10 Samacheer Chapter 5 Coordinate Geometry
8p = 104
p = 13

Ex 5.1 Class 10 Samacheer Question 4.
In each of the following, find the value of ‘a’ for which the given points are collinear.
(i) (2, 3), (4, a) and (6, -3)
(ii) (a, 2 – 2a), (-a + 1, 2a) and(-4 – a,6 – 2a)
Solution:
Samacheer Kalvi 10th Maths Exercise 5.1 Chapter 5 Coordinate Geometry
10th Standard Maths Exercise 5.1 Chapter 5 Coordinate Geometry
10th Maths Exercise 5.1 Answers Chapter 5 Coordinate Geometry

10th Maths Coordinate Geometry Exercise 5.1 Question 5.
Find the area of the quadrilateral whose vertices are at
(i) (-9, -2), (-8, -4), (2, 2) and (1, -3)
(ii) (-9, 0), (-8, 6), (-1, -2) and (-6, -3)
Solution:
(i) (-9, -2), (-8, -4), (2, 2), and (1, -3)
10th Coordinate Geometry 5.1 Samacheer Kalvi 10th Maths Solutions Chapter 5
10th Maths Samacheer Kalvi Exercise 5.1 Chapter 5 Coordinate Geometry

(ii) (-9, 0), (-8, 6), (-1, -2) and (-6, -3)
10th Maths Exercise 5.1 5th Sum Chapter 5 Coordinate Geometry
10th Maths 5.1 Exercise Chapter 5 Coordinate Geometry

10th Maths Ex 5.1 Question 6.
Find the value of k, if the area ofa quadrilateral is 28 sq.units, whose vertices are (-4, -2), (-3, k), (3, -2) and (2, 3)
Solution:
Coordinate Geometry Class 10 Exercise 5.1 Chapter 5 Coordinate Geometry
10th Std Maths Exercise 5.1 Chapter 5 Coordinate Geometry

10th Maths 5.1 Question 7.
If the points A(-3, 9) , B(a, b) and C(4,-5) are collinear and if a + b = 1, then find a and b.
Solution:
10th New Syllabus Maths Exercise 5.1 Chapter 5 Coordinate Geometry
10 Maths Exercise 5.1 Chapter 5 Coordinate Geometry

Maths Ex 5.1 Class 10 Samacheer Question 8.
Let P(11, 7), Q(13.5, 4) and R(9.5, 4) be the mid-points of the sides AB, BC and AC respectively of ∆ABC . Find the coordinates of the vertices A, B and C. Hence find the area of ∆ABC and compare this with area of ∆PQR.
Solution:
p (11, 7), Q (13.5, 4), and R (9.5, 4) are the mid points of the sides of a ∆ABC.
10th Maths Chapter 5 Exercise 5.1 Chapter 5 Coordinate Geometry
Ex 5.1 Class 10 Maths Solutions Chapter 5 Coordinate Geometry
Samacheer Kalvi 10th Maths Chapter 5 Coordinate Geometry Ex 5.1 24
Samacheer Kalvi 10th Maths Chapter 5 Coordinate Geometry Ex 5.1 25
Samacheer Kalvi 10th Maths Chapter 5 Coordinate Geometry Ex 5.1 26
Samacheer Kalvi 10th Maths Chapter 5 Coordinate Geometry Ex 5.1 27
Samacheer Kalvi 10th Maths Chapter 5 Coordinate Geometry Ex 5.1 70

Samacheer Kalvi 10th Maths Exercise 5.1Question 9.
In the figure, the quadrilateral swimming pool shown is surrounded by concrete patio. Find the area of the patio.
Samacheer Kalvi 10th Maths Chapter 5 Coordinate Geometry Ex 5.1 50
Solution:
Area of the patio = Area of the quadrilateral ABCD – Area of the swimming pool EFGFI.
Area of the quadrilateral ABCD
Samacheer Kalvi 10th Maths Chapter 5 Coordinate Geometry Ex 5.1 60

10th Standard Maths Exercise 5.1 Question 10.
A triangular shaped glass with vertices at A(-5, -4), B(1, 6) and C(7, -4) has to be painted.
If one bucket of paint covers 6 square feet, how many buckets of paint will be required to paint the whole glass, if only one coat of paint is applied.
Solution:
Samacheer Kalvi 10th Maths Chapter 5 Coordinate Geometry Ex 5.1 90
Samacheer Kalvi 10th Maths Chapter 5 Coordinate Geometry Ex 5.1 91

10th Maths Exercise 5.1 Answers Question 11.
In the figure, find the area of
(i) triangle AGF
(ii) triangle FED
(iii) quadrilateral BCEG
Solution:
Samacheer Kalvi 10th Maths Chapter 5 Coordinate Geometry Ex 5.1 92
Samacheer Kalvi 10th Maths Chapter 5 Coordinate Geometry Ex 5.1 93
Samacheer Kalvi 10th Maths Chapter 5 Coordinate Geometry Ex 5.1 94

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