Exercise 4.1 1. The cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent this statement. (Take the cost of a notebook to be ₹ x and…

Exercise 5.1 1. Which of the following statements are true and which are false? Give reasons for your answers. (i) Only one line can pass through a single point. (ii) There are an infinite number of lines…

Exercise: 6.1 1. In Fig. 6.13, lines AB and CD intersect at O. If ∠AOC +∠BOE = 70° and ∠BOD = 40°, find ∠BOE and reflex ∠COE. Solution: From the diagram, we have (∠AOC +∠BOE +∠COE) and…

Exercise: 7.1 1. In quadrilateral ACBD, AC = AD and AB bisect ∠A (see Fig. 7.16). Show that ΔABC≅ ΔABD. What can you say about BC and BD? Solution: It is given that AC and AD are…

Exercise 8.1 1. The angles of quadrilateral are in the ratio 3 : 5 : 9 : 13. Find all the angles of the quadrilateral. Solution: Let the common ratio between the angles be = x. We…

Exercise 9.1 1. Which of the following figures lie on the same base and in-between the same parallels? In such a case, write the common base and the two parallels. Solution: (i) Trapezium ABCD and ΔPDC lie…

Exercise: 10.1 1. Fill in the blanks: (i) The centre of a circle lies in ____________ of the circle. (exterior/ interior) (ii) A point, whose distance from the centre of a circle is greater than its radius…

Exercise 11.1 1. Construct an angle of 90° at the initial point of a given ray and justify the construction. Construction Procedure: To construct an angle 90°, follow the given steps: 1. Draw a ray OA 2….

Exercise 13.1 1. A plastic box 1.5 m long, 1.25 m wide and 65 cm deep, is to be made. It is to be open at the top. Ignoring the thickness of the plastic sheet, determine: (i)The…

Exercise 14.1  1. Give five examples of data that you can collect from your day-to-day life. Solution: Five examples from day-to-day life: 2. Classify the data in Q.1 above as primary or secondary data. Solution: Primary data:…