# 10th Maths Chapter 5 Coordinate Geometry Exercise 5.1

10th Standard Maths Chapter 5 Coordinate Geometry Exercise 5.1 Guide. TN SSLC Samacheer Kalvi Guide Chapter 5 Exercise 5.1 Book Back Answers & Solutions. 10th All Subject Guide – Click Here. Class 1 to 12 All Subject Book Back Answers – Click Here.

### 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:

(ii) (-10, -4), (-8, -1) and (-3, -5)

### 2. Determine whether the sets of points are collinear?

Solution:

(i)

∴ The given points are collinear

### 3. Vertices of given triangles are taken in order and their areas are provided aside. In each case, find the value of ‘p’.

Solution:
Area 20 sq. units.

8p = 104
p = 13

### 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:

### 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)

(ii) (-9, 0), (-8, 6), (-1, -2) and (-6, -3)

Solution:

Solution:

### 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.

### 9. In the figure, the quadrilateral swimming pool shown is surrounded by concrete patio. Find the area of the patio.

Solution:
Area of the patio = Area of the quadrilateral ABCD – Area of the swimming pool EFGFI.

Solution:

### 11. In the figure, find the area of

• (i) triangle AGF
• (ii) triangle FED