मराठी

If R=[(x, y) : x+2y=8] is a relation on N, write the range of R.

Advertisements
Advertisements

प्रश्न

If R=[(x, y) : x+2y=8] is a relation on N, write the range of R.

Advertisements

उत्तर

The given relation on N is R=[(x, y) : x+2y=8].

Let us find the different integral values of y for different integral values of x.
For x = 2, y = 3
For x = 4, y = 2
For x = 6, y = 1

R = {(2, 3), (4, 2), (6, 1)}

Therefore, the range of R is {1, 2, 3}.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
2013-2014 (March) All India Set 1

संबंधित प्रश्‍न

Let N denote the set of all natural numbers and R be the relation on N × N defined by (a, b) R (c, d) if ad (b + c) = bc (a + d). Show that R is an equivalence relation.


Given an example of a relation. Which is symmetric but neither reflexive nor transitive.


Given an example of a relation. Which is reflexive and transitive but not symmetric.


The following relation is defined on the set of real numbers.  aRb if |a| ≤ b

Find whether relation is reflexive, symmetric or transitive.


If = {1, 2, 3, 4} define relations on A which have properties of being reflexive, symmetric and transitive ?


Defines a relation on N:

x + 4y = 10, x, y ∈ N

Determine the above relation is reflexive, symmetric and transitive.


Show that the relation R, defined in the set A of all polygons as R = {(P1, P2) : P1 and P2 have the same number of sides}, is an equivalence relation. What is the set of all elements in A related to the right-angled triangle T with sides 3, 4 and 5?


If R = {(x, y) : x + 2y = 8} is a relation on N by, then write the range of R.


A = {1, 2, 3, 4, 5, 6, 7, 8} and if R = {(xy) : y is one half of xxy ∈ A} is a relation on A, then write R as a set of ordered pairs.


Let A = {2, 3, 4, 5} and B = {1, 3, 4}. If R is the relation from A to B given by a R b if "a is a divisor of b". Write R as a set of ordered pairs.


State the reason for the relation R on the set {1, 2, 3} given by R = {(1, 2), (2, 1)} to be transitive ?


Let R be a relation on the set N given by
R = {(a, b) : a = b − 2, b > 6}. Then,


 If A = {a, b, c, d}, then a relation R = {(a, b), (b, a), (a, a)} on A is _____________ .


S is a relation over the set R of all real numbers and it is given by (a, b) ∈ S ⇔ ab ≥ 0. Then, S is _______________ .


Mark the correct alternative in the following question:

The relation S defined on the set R of all real number by the rule aSb if a  b is _______________ .


Mark the correct alternative in the following question:

Let L denote the set of all straight lines in a plane. Let a relation R be defined by lRm if l is perpendicular to m for all l, m  L. Then, R is ______________ .


If A = {a, b, c}, B = (x , y} find B × A.


Let A = {1, 2, 3, 4}, B = {4, 5, 6}, C = {5, 6}. Find (A × B) ∪ (A × C).


If A = {1, 2, 3, 4 }, define relations on A which have properties of being:
reflexive, transitive but not symmetric


Given A = {2, 3, 4}, B = {2, 5, 6, 7}. Construct an example of the following:
a mapping from A to B which is not injective


Give an example of a map which is not one-one but onto


Let T be the set of all triangles in the Euclidean plane, and let a relation R on T be defined as aRb if a is congruent to b ∀ a, b ∈ T. Then R is ______.


If f(x) = `1 - 1/"x", "then f"("f"(1/"x"))` ____________.


Total number of equivalence relations defined in the set S = {a, b, c} is ____________.


The relation R is defined on the set of natural numbers as {(a, b) : a = 2b}. Then, R-1 is given by ____________.


Let the relation R in the set A = {x ∈ Z : 0 ≤ x ≤ 12}, given by R = {(a, b) : |a – b| is a multiple of 4}. Then [1], the equivalence class containing 1, is:


A general election of Lok Sabha is a gigantic exercise. About 911 million people were eligible to vote and voter turnout was about 67%, the highest ever


Let I be the set of all citizens of India who were eligible to exercise their voting right in the general election held in 2019. A relation ‘R’ is defined on I as follows:

R = {(V1, V2) ∶ V1, V2 ∈ I and both use their voting right in the general election - 2019}

  • The above-defined relation R is ____________.

Find: `int (x + 1)/((x^2 + 1)x) dx`


If A is a finite set consisting of n elements, then the number of reflexive relations on A is


A relation 'R' in a set 'A' is called a universal relation, if each element of' A' is related to :-


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×