Advertisements
Advertisements
Question
Represent the given relation by
(a) an arrow diagram
(b) a graph and
(c) a set in roster form, wherever possible
{(x, y) | x = 2y, x ∈ {2, 3, 4, 5}, y ∈ {1, 2, 3, 4}
Advertisements
Solution
x = {2, 3, 4, 5} y = {1, 2, 3, 4}
x = 2y
2y = x
y = `x/2`
If `x = 2 ⇒ y = x/2 = 2/2 = 1`
if `x = 3 ⇒ y = x/2 = 3/2`
If `x = 4 ⇒ y = x/2 = 4/2 = 2`
If `x = 5 ⇒ y = x/2 = 5/2`
(a) Arrow diagram
(b) Graph
(c) Roster form R = {(2, 1) (4, 2)}
APPEARS IN
RELATED QUESTIONS
Let A = {x, y, z} and B = {1, 2}. Find the number of relations from A to B.
Let A = [1, 2, 3, ......., 14]. Define a relation on a set A by
R = {(x, y) : 3x − y = 0, where x, y ∈ A}.
Depict this relationship using an arrow diagram. Write down its domain, co-domain and range.
If A = [1, 3, 5] and B = [2, 4], list of elements of R, if
R = {(x, y) : x, y ∈ A × B and x > y}
If R is a relation on the set A = [1, 2, 3, 4, 5, 6, 7, 8, 9] given by x R y ⇔ y = 3x, then R =
If R = {(x, y) : x, y ∈ Z, x2 + y2 ≤ 4} is a relation on Z, then the domain of R is ______.
If the set A has p elements, B has q elements, then the number of elements in A × B is
Answer the following:
If A = {1, 2, 3}, B = {4, 5, 6} check if the following are relations from A to B. Also write its domain and range
R3 = {(1, 4), (1, 5), (3, 6), (2, 6), (3, 4)}
Answer the following:
Find R : A → A when A = {1, 2, 3, 4} such that R = (a, b)/a − b = 10}
Multiple Choice Question :
Let n(A) = m and n(B) = n then the total number of non-empty relation that can be defined from A to B is ________.
Choose the correct alternative:
Let f : R → R be defined by f(x) = 1 − |x|. Then the range of f is
