You are currently viewing 10th Maths Chapter 5 Coordinate Geometry Exercise 5.1

10th Maths Chapter 5 Coordinate Geometry Exercise 5.1

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.  

 

10th Maths Chapter 5 Coordinate Geometry

 

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 unit - 5 book back question with answer

10th maths unit - 5 book back questions with answer

(ii) (-10, -4), (-8, -1) and (-3, -5)
10th maths unit - 5 book back questions with answer

10th maths unit - 5 book back question with answer

 

 

2. Determine whether the sets of points are collinear?

10th maths unit - 5 book back question with answer

 

Solution:

(i)

10th maths unit - 5 book back questions with answer

10th maths unit - 5 questions with answer

∴ 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’.

10th maths unit - 5 questions with answer
Solution:
Area 20 sq. units.

 

10th maths unit - 5 book back questions with answer

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:

 

10th maths unit - 5 book back questions with answer

10th maths unit - 5 book back questions with answer

10th maths unit - 5 book back questions with answer

 

 

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 unit - 5 book back questions with answer

 

10th maths unit - 5 book back questions with answer

(ii) (-9, 0), (-8, 6), (-1, -2) and (-6, -3)
10th maths unit - 5 book back questions with answer

10th maths unit - 5 book back questions with answer

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:

10th maths unit - 5 book back questions with answer

 

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 unit - 5 book back questions with answer

 

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 unit - 5 book back questions with answer

10th maths unit - 5 book back questions with answer

10th maths unit - 5 book back question with answer

10th maths unit - 5 book back questions with answer

10th maths unit - 5 book back questions with answer

 

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

10th maths unit - 5 book back questions with answer

 

Solution:
Area of the patio = Area of the quadrilateral ABCD – Area of the swimming pool EFGFI.
Area of the quadrilateral ABCD
10th maths unit - 5 book back questions with answer

 

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:

 

10th maths unit - 5 book back questions with answer

10th maths unit - 5 book back questions with answer

 

11. In the figure, find the area of

  • (i) triangle AGF
  • (ii) triangle FED
  • (iii) quadrilateral BCEG

Solution:
10th maths unit - 5 book back questions with answer

 

10th maths unit - 5 book back questions with answer

Leave a Reply