Let T be the set of all trianges in the ...

Let T be the set of all trianges in the Euclidean plane and let a relation R on T be defined as a R b, if a is congruent to b, for all ` a, b in T ` Then R is

reflexive but not transitive

transitive but not symmetric

equivalence relation

none of these

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

QUADRATIC EQUATIONS AND EXPRESSION
HIMALAYA PUBLICATION|Exercise Question Bank|129 Videos
STATISTICS MEASURE OF DIPERSION
HIMALAYA PUBLICATION|Exercise QUESTION BANK|28 Videos

Similar Questions

Explore conceptually related problems

Let T be the set of all triangles in a plane with R a relation in T given by R ={(T _(1) , T _(2)): T _(1) is congruent to T _(2) } Show that R is an equivalence relation.

Let S be the set of all real numbers. A relation R has been defined on S by a Rb rArr|a-b| le 1 , then R is

Let L be the set of all lines in a plane and R be the relation in L defined as R = {(L _(1), L _(2)) : L _(1) is perpendicular to L _(2) }. Show that R is symmetric but neither reflexive nor transitive.

Let R be the set of all real numbers. A relation R has been defined on R by aRb hArr |a-b| le 1 , then R is

Let L be the set of all straight lines in the Euclidean plane. Two lines l_(1)" and "l_(2) are said to be related by the relation R" iff "l_(1) || l_(2) . Then the relation R is :

Let L be the set of all lines in XY plane and R be the relation in L defined as R = {(L _(1) , L _(2)) : L _(1) is parallel to L _(2)}. Show that R is an equivalence relation. Find the set of all lines related to the line y = 2x +4.

Let us define a relation R on the set R of real numbers as a R b if a ge b . Then R is

Let S be the set of all real numbers. Then the relation R = {(a, b) : 1 + ab gt 0 } on S is :

Let x,y in I and suppose that a relation R on I is defined by x R y if and only if x le y . Then :

Consider the non-empty set consisting of children in a family and a relation R defined by a R b if a is brother of b. Then R is

HIMALAYA PUBLICATION-SETS,RELATIONS AND FUNCTIONS-QUESTION BANK

Let S {x |x is a positive multiple of 3 less then 100}, P ={x|x is a...
Text Solution
|
Let n(A) = m and n(B) = n. Then the total number of non-empty relation...
Text Solution
|
Let T be the set of all trianges in the Euclidean plane and let a rela...
Text Solution
|
Consider the non-empty set consisting of children in a family and a re...
Text Solution
|
If a relation R on the set {1, 2, 3} be defined by R = {(1, 2)}, then ...
Text Solution
|
Let us define a relation R on the set R of real numbers as a R b if a ...
Text Solution
|
Let A = {1, 2, 3} and consider the relation R = {(1, 1), (2, 2), (3, 3...
Text Solution
|
If a set A contains 5 elements and the set B contains 6 elements, then...
Text Solution
|
Let A = {1, 2, 3, …..., n} and B = {a, b}. Then the number of surjecti...
Text Solution
|
If [x]^(2)-5[x]+6=0, where [.] denotes the greatest integer function, ...
Text Solution
|
Range of f(x) = (1)/(1-2cosx) is
Text Solution
|
Let f(x)=sqrt(1+x^(2)), then :
Text Solution
|
Domain of sqrt(a^(2)-x^(2))(a>0) is :
Text Solution
|
If f(x)=ax+b where a and b are integers, f(-1)=-5andf(3)=3, then a and...
Text Solution
|
The domain of the function f defined by : f(x)=sqrt(4-x)+(1)/(sqrt(x^(...
Text Solution
|
The domain and range of real function f defined by : f(x)=(4-x)/(x-4) ...
Text Solution
|
The domain and range of real function f defined by f(x)=sqrt(x-1) is g...
Text Solution
|
Find the domain of the function f(x)=(x^(2)+3x+5)/(x^(2)-5x+4)
Text Solution
|
The domain and range of the function f given by : f(x)=2-|x-5| is :
Text Solution
|
The domain for which the function defined by f(x) = 3x^2-1 and g(x) = ...
Text Solution
|