Home
Class 12
MATHS
Let A={1,2,3ddot, 14} . Define a relatio...

Let `A={1,2,3ddot, 14}` . Define a relation on a set A by `R={(x , y):3x-y=0. w h e r e\ x , y in A}` . Depict this relationship using an arrow diagram. Write down its domain, co-domain and range.

Text Solution

Verified by Experts

The correct Answer is:
`R={(3,1),(6,2),(9,3),(12,4)}`
Domain: {3, 6, 9, 12}, Range: {1, 2, 3, 4}, Codomain: A
Given relation R from set A to itself is `R={(x,y):x=3y, " where " x,y in A} `
` :. R={(3,1),(6,2),(9,3),(12,4)}`
Domain of R is `{3,6,9,12}` and range of R is `{1,2,3,4}` Codomain of R is set A.
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE|Exercise Exercise 1.3|9 Videos

  • RELATIONS AND FUNCTIONS

    CENGAGE|Exercise Exercise 1.4|8 Videos

  • RELATIONS AND FUNCTIONS

    CENGAGE|Exercise Exercise 1.1|15 Videos

  • Quadratic Equations, Inequalities, Modulus and Logarithms

    CENGAGE|Exercise Question Bank|31 Videos

  • SCALER TRIPLE PRODUCTS

    CENGAGE|Exercise DPP 2.3|11 Videos

Similar Questions

Explore conceptually related problems

Let A={1,2,3;14}. Define a relation on a set A by R={(x,y):3x-y=0. where x,y in A} Depict this relationship using an arrow diagram.Write down its domain,co-domain and range.

Let A" "=" "{1," "2," "3," "4," "5," "6} . Define a relation R from A to A by R" "=" "{(x ," "y)" ":" "y" "=" "x" "+1} (i) Depict this relation using an arrow diagram. (ii) Write down the domain, co-domain and range of R.

Let A={1,2,3,4,5,6} .Define a relation R on set A by R={(x,y):y=x+1} Depict this relation using an arrow diagram Write down the domain,co domain and range of R.

1.Let A={1,2,3,...,14} .Define a relation R from A to A by R={(x,y):3x-y=0, where x,y in A } .Write down its domain,codomain and range.

Let A" "=" "{1," "2," "3," "dot" "dot" "dot" "," "14} . Define a relation R from A to A by R" "=" "{(x ," "y)" ":" "3x" "" "y" "=" "0," "w h e r e" "x ," "y in A} . Write down its domain, co-domain and range

Let A={1,2,3,4,….,14} Define a relation R from a set A to A by R={(x,y):2x-y=0, x,y in A} Write down its domain and range.

Let A ={1,2,3,4,5,6} . Define a relation R from A to A by R = {(x,y):y =x+1} Depict this relation using an arrow diagram .

Define a relation R on the set N of natural numbers by R={(x,y):y=x+5,x is a natural number less than 4,x,y in N}. Depict this relationship using i.roster form il. an arrow diagram.Write down the domain and range or R.

Let A={1,2,3,4},B={1,4,9,16,25} and R be a relation defined from A to B as , R ={(x,y):x in A and y =x^2} (a) Depict this relation using arrow diagram.

Let A ={1,2,3,4,5} . Define a relation R from A to A by R = {(x,y):y =x+1} write down the domain , and range of R .