Chapter 2 – Relations and Functions

Let f = {(1, 1), (2, 3), (0, – 1), ( – 1, – 3)} be a linear function from Z into Z. Find f(x) - 3)} be a linear function from Z into Z. Find f(x) 0 ) 1 2 3% Let f = {(1 October 13, 2021 Category: Chapter 2 - Relations and [...]

Let R be the set of real numbers. Define the real function f : R →R by f(x) = x + 10 and sketch the graph of this function. Let R be the set of real numbers. Define the real function f : R →R by f(x) = x + 10 and sketch the graph [...]

Let f(x) = sqrt(x) and g(x) = x be two functions defined over the set of non negative real numbers. Find (f + g) (x), (f – g) (x), (fg) (x) and (f/g)(x). (f - g) (x) (fg) (x) and (f/g)(x). Let f(x) = sqrt(x) and g(x) = x be two functions defined over the [...]

If cot x = – 5/12 , x lies in second quadrant, find the values of other five trigonometric functions. find the values of other five trigonometric functions. If cot x = – 5/12 x lies in second quadrant October 13, 2021 Category: Chapter 2 - Relations and Functions , Maths , NCERT Exemplar Class [...]

Let f(x) = x^2 and g(x) = 2x + 1 be two real functions. find (f +g)(x), (f-g)(x), (fg)(x), (f/g)(x). (f-g)(x) (fg)(x) Let f(x) = x^2 and g(x) = 2x + 1 be two real functions. find (f +g)(x) October 13, 2021 Category: Chapter 2 - Relations and Functions , Maths , NCERT Exemplar Class [...]

Examine each of the following relations given below and state in each case, giving reasons whether it is a function or not? Examine each of the following relations given below and state in each case giving reasons whether it is a function or not? October 13, 2021 Category: Chapter 2 - Relations and Functions , [...]

Let N be the set of natural numbers and the relation R be defined on N such that R = {(x,y):y = 2x,x,y ∈ N} What is the domain, co-domain and range of R? Is this relation a function? co-domain and range of R? Is this relation a function? Let N be the set of [...]

Let A = {1, 2} and B = {3, 4}. Find the number of relations from A to B. 2} and B = {3 4}. Find the number of relations from A to B. Let A = {1 October 13, 2021 Category: Chapter 2 - Relations and Functions , Maths , NCERT Exemplar Class 11 [...]

Let A = {1, 2, 3, 4, 5, 6}. Define a relation R from A to A by R = {(x, y) : y = x + 1 } 2 3% 4 5 6}. Define a relation R from A to A by R = {(x Let A = {1 y) : y = x [...]

If A × B = { (p,q), (p,r), (m,q), (m,r) } Find A and B. -q If A × B = { (p m p R r) } Find A and B. October 13, 2021 Category: Chapter 2 - Relations and Functions , Maths , NCERT Exemplar Class 11 ,