 # 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)  ### 6. Find the value of k, if the area of a quadrilateral is 28 sq.units, whose vertices are (-4, -2), (-3, k), (3, -2), and (2, 3)

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

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