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

   

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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
Samacheer Kalvi 10th Maths Chapter 5 Coordinate Geometry Ex 5.1 2

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

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

Ex 5.1 Class 10 Samacheer 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 Exercise In Tamil Samacheer Kalvi
Solution:
Area 20 sq. units.
Maths Ex 5.1 Class 10 Samacheer
8p = 104
p = 13

10th Maths Exercise 5.1 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:
10th Coordinate Geometry 5.1 Samacheer Kalvi Maths
10th Samacheer Kalvi Maths Coordinate Geometry Ex 5.1 12
Coordinate Geometry Class 10 Samacheer Ex 5.1 13

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 Maths Exercise 5.1 In Tamil Coordinate Geometry Ex 5.1 14
Class 10th Maths Ex 5.1 Solutions Samacheer Kalvi

(ii) (-9, 0), (-8, 6), (-1, -2) and (-6, -3)
10th Maths Exercise 5.1 5th Sum Samacheer Kalvi
Ex 5.1 Class 10 Maths Solutions 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:
Samacheer Kalvi Chapter 5 Coordinate Geometry Answers Ex 5.1 18
10th Maths Samacheer Kalvi Exercise 5.1

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 Maths Exercise 5.1 9th Sum Samacheer Kalvi
10th Maths Exercise 5.1 Answers Samacheer Kalvi

10th Standard Maths Exercise 5.1 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 Samacheer Kalvi
Class 10 Maths Exercise 5.1 Solutions Samacheer Kalvi Geometry
Exercise 5.3 Class 10 Samacheer Kalvi Coordinate Geometry
Class 10th Maths Chapter 5 Exercise 5.1 Samacheer Kalvi
Samacheer Kalvi Guru 10th Maths Book Solutions Chapter 5 Coordinate Geometry Ex 5.1 26
Samacheer Kalvi Class 10 Maths Chapter 5 Coordinate Geometry Ex 5.1 27
Exercise 5.1 Class 10 Samacheer Kalvi

Maths Ex 5.1 Class 10 Samacheer Question 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 Coordinate Geometry 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 Samacheer Kalvi Maths Coordinate Geometry 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