## Chapter – 1: Real Number

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…

## Chapter – 2: Polynomials

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…

## Chapter – 3: Pair of Linear Equations in Two Variables

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…

## Chapter – 4: Quadratic Equation

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)…

## Chapter – 5: Arithmetic Progressions

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…

## Chapter – 6: Triangles

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….

## Chapter – 7: Coordinate Geometry

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…

## Chapter – 8: Introduction to Trigonometry

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…

## Chapter – 9: Some Application of trigonometry

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…

## Chapter – 10: Circles

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…

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