Home
Class 12
MATHS
Let X = {1, 2, 3, 4,5} and Y = {1, 3, 5,...

Let `X = {1, 2, 3, 4,5}` and `Y = {1, 3, 5, 7,9}`. Which of the following is relations from X to Y

A

`R_(1) = {(x, y):y=2+x,x inX, yinY}`

B

`R_(2) = {(1, 1), (2, 1), (3, 3), (4, 3), (5, 5)}`

C

`R_(3) = {(1, 1), (1, 3), (3, 5), (3, 7), (5, 7)}`

D

`R_(4) = {(1, 3), (2, 5), (3, 4), (7, 9)}`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
X = {1, 2, 3, 4, 5}
Y = {1, 3, 5, 7, 9}
(a) `R_(1) = {(x, y):y=2+x,x inX, y inY}`
`{:(x=1,y=2),(x=2,y=4),(x=3,y=5),(x=4,y=6),(x=5,y=7):}`
So, `R_(1)` is a relation from X to Y.
(b) `R_(2) = {(1, 1), (2, 1), (3, 3), (4, 3), (5, 5)}`
`R_(2) sube X xx Y`
(c ) `R_(3)` = {(1, 1), (1, 3), (3, 5), (5, 7)}
`R_(3)subeXxxY`
(d) `R_(4)cancelsubeXxxY`
Promotional Banner

Similar Questions

Explore conceptually related problems

x= {1, 2, 3, 4}, y= {1, 5, 9, 11, 15, 16} which of the following relations are functions from x to y ? (1) f_(1)= {(1, 1) (2,11) (3,1) (4, 15)} (2) f_(2)= {(1, 1) (2,7)(3,5)} (3) f_(3)= {(1, 5) (2,9) (3, 1) (4, 5) (2, 11)}

Let X = {1,2,3} and Y = {4,5} . Find whether the following subsets of XxxY are functions form X to Y or not . f = {(1,4),(1,5),(2,4),(3,5)}

Let X = {1,2,3} and Y = {4,5} . Find whether the following subsets of XxxY are functions form X to Y or not . h={(1,4),(2,5),(3,5)}

Let X = {1,2,3} and Y = {4,5} . Find whether the following subsets of XxxY are functions form X to Y or not . k={(1,4),(2,5)}

Let X = {1,2,3} and Y = {4,5} . Find whether the following subsets of XxxY are functions form X to Y or not . g = {(1,4),(2,4),(3,4)}

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and A = {1, 3, 5, 7, 9} . Find A′.

Let A={1,2,3,4}, B={1,5,9,11,15,16} and f={(1,5),(2,9),(3,1),(4,5),(2,11)} Are the following true? (i) f is a relation from A to B (ii) f is a function from A to B. Justify your answer in each case.

A = {1, 2, 3, 4, 5}, S= {(x,y) : x in A, y in A} , then find the ordered which satisfy the conditions given below. x+y= 5

Let X = {1, 2, 3, 4, 5, 6, 7, 8, 9). Let R_1 be a relation in X given by R_1 = {(x, y) : x - y is divisible by 3} and R, be another relation on X given by R_2 = {(x, y) : {x, y}sub {1, 4, 7}} or {x,y} sub{2,5,8} or {x,y} sub {3,6,9} . Show that R_1 = R_2 .

A =(1, 2, 3, 5) and B= {4, 6, 9). Define a relation R from A to B by R= {(x, y): the difference between x and y is odd, x in A, y in B} . Write R in roster form.