Let X ={ 1,2,3,4,5} and Y= {1,3,5,7,9}...

Let X ={ 1,2,3,4,5} and Y= {1,3,5,7,9} which of the following is not a relation from X to Y ?

`R_1`={(1,3),(4,5),(5,7)}

`R_2 ` = {(1,1),(2,1),(3,3) ,(4,3),(5,5))}

`R_3` ={(1,1).(1,3),(3,5),(3,7),(5,7) }

`R_4 `= {(1,3),(2,5),(2,4),(7,9)}

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

RELATIONS AND FUNCTIONS
NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|33 Videos
RELATIONS AND FUNCTIONS
NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|33 Videos
PROBABILITY
NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|20 Videos
SEQUENCES AND SERIES
NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|105 Videos

Similar Questions

Explore conceptually related problems

If X = {1,2,3,4,5}, Y = {1,3,5,7,9} determins which of the following relations from X to Y are functions ? Give reasonfor your answer. If it is a function. State its type. (i) R_(1) = {(x,y) | y = x + 2, x in X , y in Y } (ii) R_(2) = {(1,1),(2,1),(3,3),(4,3),(5,5)} (iii) R_(3) { (1,1),(1,3),(3,5),(3,7),(5,7)} (iv) R_(4) {(1,3),(2,5),(4,7),(5,9),(3,1)}

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.

State which of the following sets are disjoint. X = {1, 3, 5, 7, 9}, Y = {0, 2, 4, 6, 8, 10}

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

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

Two sides of a rhombus are along the lines, x-y+1=0 and 7x-y-5=0 . If its diagonals intersect at (-1,-2) , then which one of the following is a vertex of this rhombus ? (1) (-3,-9) (2) (-3,-8) (3) (1/3,-8/3) (4) (-(10)/3,-7/3)

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.

Let A ={1,2,3,4,5,6} . Define a relation R from A to A by R = {(x,y):y =x+1} write down the domain , and range of R .

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 .

NEW JOYTHI PUBLICATION-RELATIONS AND FUNCTIONS -EXERCISE

A = { set of all multiples of 3 less than 20 } B = { set of t...
Text Solution
|
A is the set of all prime number less than 10. then number of...
Text Solution
|
Let X ={ 1,2,3,4,5} and Y= {1,3,5,7,9} which of the following is ...
Text Solution
|
R is a relation on the set A = { 1,2,3,4,6,7,8,9} given by x Ry a...
Text Solution
|
Let A and B be two sets having m and n elements respectively ....
Text Solution
|
Number of mappings from an empty set to a non empty set with n ...
Text Solution
|
If N is the set of alll natural numbers then which of the follo...
Text Solution
|
g={(1,1),(2,3),(3,5) , ( 4,7)} is a function such that g(x) = ax +b...
Text Solution
|
Let f={(1,1),(2,3),(0,-1) , (-1,-3) } be a relation from Z to Z d...
Text Solution
|
The domain of the function f(x) = sqrt( x^2 +1) is
Text Solution
|
The domain of f(x) = sqrt(16 -x^2 ) is
Text Solution
|
The range of f(x) = x^2 + 1 is
Text Solution
|
The domain of f(x)= (1)/( x^2 +1) is
Text Solution
|
The domain of sqrt((1)/( 1-x^2)) is
Text Solution
|
The range of f(x) = ( x-3)/( 3-x), x ne 3 is
Text Solution
|
F : R to R defined by f (x) = (1)/(2x^2 +5) the range of F is
Text Solution
|
The domain of f(x) = (1)/( sqrt( |X|-x) is
Text Solution
|
The domain of f(x) = (sqrt(17-15 x-2x ^2))/(x+3) is
Text Solution
|
If for a function f : R to R f (x +y ) =F(x ) + f(y) for all ...
Text Solution
|
if f(x) = (x-1)/(x+1) the f(2x ) is
Text Solution
|