Question

To verify that the relation r in the set a of all line in a plan, defined by R, R={(l, m) } is symmetry but neither reflexive nor transitive​

Answer 1

Answer:

Hope it helps you.... please follow me.... Mark me brainlisted ..... thank u ❤️

Answer 2

Step-by-step explanation:

Given the relation R is defined as R={(L

1

,L

2

):L

1

⊥L

2

}.

Now this relation is not reflexive as

L

1

R

L

1

does not hold as every line is not perpendicular to itself.

The relation is symmetric as

L

1

R

L

2

gives

L

2

R

L

1

. [ As if L

1

is perpendicular to L

2

then L

2

is also perpendicular to L

1

].

The relation is not transitive as

L

1

R

L

2

,

L

2

R

L

3

does not gives

L

1

R

L

3

. [ As, if L

1

is perpendicular to L

2

and L

2

is perpendicular to L

3

then L

1

may of may not be perpendicular to L

3

]