Exercise 2.1 1. If (x/3 + 1, y – 2/3) = (5/3, 1/3) then find values of x and y. Comparing both sides of this equation we get Simplifying x/3 + 1 =…

Read moreQuestion 1 Question 2 Question 3 Question 4 5. Find the domain and the range of the real function f defined by f (x) = |x –1| We know that absolute or modulus…

Read more1. Which of the following relations are functions? Give reasons. If it is a function, determine its domain and range.(i) {(2,1), (5,1), (8,1), (11,1), (14,1), (17,1)}As every first element in the ordered pairs…

Read more1. Let A = {1, 2, 3,…,14}Define a relation R from A to A byR = {(x, y) : 3x – y = 0, where x, y ∈ A}. Write down its domain,…

Read more1. If (x/3 + 1, y – 2/3) = (5/3, 1/3) then find values of x and y. Comparing both sides of this equation we get Simplifying x/3 + 1 = 5/3 Simplifying…

Read moreExercise 1.1 1. Which of the following are sets? Justify your answer.(i) The collection of all the months of a year beginning with the letter JThe collection of all months of a year…

Read more1. Decide among the following sets which sets are subsets of one and another: A = {x : x ∈ R and x satisfy x2 – 8x + 12 = 0}B = {2,…

Read more1. If X and Y are two sets such that n(X) = 17, n(Y) = 23 and n(X ∪ Y) = 38 Find n(X ∩ Y)We know thatn(X ∪ Y) + n(X ∩…

Read more1. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9} A = {1, 2, 3, 4}B = {2, 4, 6, 8}C = {3, 4, 5, 6}Find (i) A′ A′ =…

Read more1. Find the union of each of the following pairs of sets: (i) X = {1, 3, 5} Y = {1, 2, 3}X ∪ Y = {1, 2, 3, 5} (ii) A =…

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