CBSE (Science) Class 11CBSE
Share
Notifications

View all notifications
Books Shortlist
Your shortlist is empty

Write the Following Relations as Sets of Ordered Pairs and Find Which of Them Are Functions:(C) {(X, Y) : X + Y = 3, X, Y, ∈ [0, 1, 2, 3]} - CBSE (Science) Class 11 - Mathematics

Login
Create free account


      Forgot password?

Question

Write the following relations as sets of ordered pairs and find which of them are functions:

{(xy) : x + y = 3, xy, ∈ [0, 1, 2, 3]}

 

 

Solution

Given:
{(xy) : x + y = 3, xy, ∈ [0, 1, 2, 3]}
x + y = 3
∴ y = 3 – x
On substituting x = 0,1, 2, 3 in y, we get:
y = 3, 2, 1, 0, respectively.
∴ R = {(0, 3), (1, 2), (2, 1), (3, 0)}
Hence, we observe that each element of the given set has appeared as the first component in one and only one ordered pair in R . So, R is a function in the given set.

  Is there an error in this question or solution?

APPEARS IN

 RD Sharma Solution for Mathematics Class 11 (2019 to Current)
Chapter 3: Functions
Ex.3.10 | Q: 8.3 | Page no. 8
Solution Write the Following Relations as Sets of Ordered Pairs and Find Which of Them Are Functions:(C) {(X, Y) : X + Y = 3, X, Y, ∈ [0, 1, 2, 3]} Concept: Sets - Ordered Pairs.
S
View in app×