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Angle between Two Lines

Let T be th...

Question

Let $T$ be the set of all triangle in the Euclidean plane, and let a relation $R$ on $T$ be defined as $a R b$ if a is congruent to $b \forall a, b ϵ T$ . Then $R$ is

A

reflective but not transitive

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B

transitive but not symmetric

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C

equivalence

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D

none of these

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Solution

The correct option is C equivalence

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Similar questions

T

be the set of all triangles in the Euclidean plane, and let a relation

R

T

a R b

a

is congruent to

b

a, b \in T

R

Q. Mark the correct alternative in the following question:

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 for all a, b

\in

T. Then, R is

a) reflexive but not symmetric (b) transitive but not symmetric
c) equivalence (d) none of these

T

be the set of all triangles in a plane with

R

T

R = {(T_{1}, T_{2})} : T_{1}

T_{2}

R

is an equivalence relation.

L

be the set of all straight lines in the Euclidean plane. Two lines

l_{1}

l_{2}

are said to be related by the relation

R

l_{1}

l_{2} .

Then the relation

R

R

be the relation on the set

R

, of all real numbers defined by

a R b

| a - b | \leq 1

R

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