Exercise – 1.1 1. Is zero a rational number? Can you write it in the form p/q where p and q are integers and q ≠ 0? Solution: We know that, a number is said to be…

Exercise 2.1 1. Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer. (i) 4×2–3x+7 Solution: The equation 4×2–3x+7 can be written as 4×2–3×1+7×0 Since x is the only variable…

Exercise 3.1 1. How will you describe the position of a table lamp on your study table to another person? Solution: For describing the position of table lamp on the study table, we take two lines, a…

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…