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Exercise 1.1 1. Use Euclid’s division algorithm to find the HCF of: i. 135 and 225 ii. 196 and 38220 iii. 867 and 255 Solutions: i. 135 and 225 As you can see, from the question 225…

Exercise 2.1 1. The graphs of y = p(x) is given in Fig. 2.10 below, for some polynomials p(x). Find the number of zeroes of p(x), in each case. Solutions: Graphical method to find zeroes:- Total number…

Exercise 3.1 1. Aftab tells his daughter, “Seven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be.” (Isn’t…

Exercise 4.1 1. Check whether the following are quadratic equations: (i) (x + 1)2 = 2(x – 3) (ii) x2 – 2x = (–2) (3 – x) (iii) (x – 2)(x + 1) = (x – 1)(x + 3)…

Exercise 5.1 1. In which of the following situations, does the list of numbers involved make as arithmetic progression and why? (i) The taxi fare after each km when the fare is Rs 15 for the first…

Exercise 6.1 1. Fill in the blanks using correct word given in the brackets: – (i) All circles are __________. (Congruent, similar) Solution: Similar (ii) All squares are __________. (Similar, congruent) Solution: Similar (iii) All __________ triangles are similar….

Exercise7.1 1. Find the distance between the following pairs of points: (i) (2, 3), (4, 1) (ii) (-5, 7), (-1, 3) (iii) (a, b), (- a, – b) Solution: Distance formula to find the distance between two…

Exercise 8.1 1. In ∆ ABC, right-angled at B, AB = 24 cm, BC = 7 cm. Determine: (i) sin A, cos A (ii) sin C, cos C Solution: In a given triangle ABC, right angled at…

Exercise 9.1 1. A circus artist is climbing a 20 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Find the height of the pole, if the…

Exercise: 10.1 1. How many tangents can a circle have? Solution: There can be infinite tangents to a circle. A circle is made up of infinite points which are at an equal distance from a point. Since there are…