Exercise 9.1 Write the first five terms of each of the sequences in Exercises 1 to 6 whose nth terms are: 1. an = n (n + 2)  Solution: – Given, nth term of a sequence an = n (n…

EXERCISE 10.1 1. Draw a quadrilateral in the Cartesian plane, whose vertices are (– 4, 5), (0, 7), (5, – 5) and (– 4, –2). Also, find its area. Solution: – Let ABCD be the given quadrilateral…

EXERCISE 11.1 In each of the following Exercise 1 to 5, find the equation of the circle with1. Centre (0, 2) and radius 2 Solution: – Given: Centre (0, 2) and radius 2 Let us consider the…

EXERCISE 12.1 1. A point is on the x-axis. What are its y coordinate and z-coordinates? Solution: – If a point is on the x-axis, then the coordinates of y and z are 0. So the point is (x, 0, 0)….

Exercise 14.1 1.Which of the following sentences are statements? Give reasons for your answer. (i) There are 35 days in a month. (ii) Mathematics is difficult. (iii) The sum of 5 and 7 is greater than 10….

Exercise 13.1 1. Evaluate the Given limit: Solution: – Given Substituting x = 3, we get = 3 + 3 = 6 2. Evaluate the Given limit: Solution: – Given limit: Substituting x = π, we get…

Exercise 15.1 Find the mean deviation about the mean for the data in Exercises 1 and 2. 1. 4, 7, 8, 9, 10, 12, 13, 17 Solution: – First we have to find (x̅) of the given…

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…

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…