Chapter – 16: Probability
Exercise 16.1 In each of the following Exercises 1 to 7, describe the sample space for the indicated experiment. 1. A coin is tossed three times. Solution: – Since either coin can turn up Head (H) or…
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 – 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 – 11: Constructions
Exercise 11.1 In each of the following, give the justification of the construction also: 1. Draw a line segment of length 7.6 cm and divide it in the ratio 5 : 8. Measure the two parts. Construction…
Chapter – 12: Area Related to Circles
Exercise: 12.1 1. The radii of two circles are 19 cm and 9 cm respectively. Find the radius of the circle which has a circumference equal to the sum of the circumferences of the two circles. Solution:…
Chapter – 13: Surface Areas and Volumes
Exercise: 13.1 1. 2 cubes each of volume 64 cm3 are joined end to end. Find the surface area of the resulting cuboid. Solution: The diagram is given as: Given, The Volume (V) of each cube is =…
Chapter -14: Statistics
Exercise 14.1 1. A survey was conducted by a group of students as a part of their environment awareness program, in which they collected the following data regarding the number of plants in 20 houses in a…
Chapter – 12: Heron’s Formula
Exercise: 12.1 1. A traffic signal board, indicating ‘SCHOOL AHEAD’, is an equilateral triangle with side ‘a’. Find the area of the signal board, using Heron’s formula. If its perimeter is 180 cm, what will be the…
