The relation is an equivalent relation
The relation is not reflexive but it is symmetric and transitive
The relation is not synunetric but it is reflexive and transitive
The relation is not- transitive but it is reflexive and symmetric
* is reflexive but not transitive and symmetric
* is transitive but not reflexive and symmetric
* is symmetric and reflexive but not transitive
* is symmetric but not reflexive and transitive
R is reflexive, symmetric but not transitive
R is transitive, symmetric but not reflexive
R is reflexive, transitive but not symmetric
R is an equivalence relation
The relation is an equivalence relation on `X`
The relation is transitive but neither reflexive nor symmetric
The relation is reflexive but neither transitive nor symmetric
The relation is symmetric but neither transitive nor reflexive
an equivalence relation
reflexive and transitive but not symmetric
symmetric and transitive but not reflexive
reflexive and symmetric but not transitive
Only I
Only II
Both I and II
Neither I nor II
`4096`
`4094`
`128`
`126`
The relation is an equivalence relation on `X`
The relation is symmetric but neither reflexive nor transitive
The relation is reflexive but neither symmetric nor transitive
None of the above
`1` and `2`
`1` and `4`
`2` and `3`
`3` and `4`
reflexive but neither symmetric nor transitive relation
reflexive, symmetric but not transitive relation
an equivalence relation
symmetric but neither reflexive nor transitive relation
`S ` is an equivalence relation
`S ` is only reflexive and symmetric
`S ` is only reflexive and transitive
`S ` is only symmetric and transitive
`8`
`6`
`2`
`1`
`2^n`
`n^2`
`2^(n^2)`
`n^n`
reflexive
reflexive but not symmetric
symmetric and transitive
an equivalence relation
`6`
`7`
`12`
`64`
`2`
`4`
`6`
`8`
`{ (0, 1), (1, 0)}`
`{(0, 0), (1, 1)}`
`{(0, 1), (1, 0), (1, 1)}`
`A xx A`
`{(1, 1), (2, 1), (6, 1), (3, 2)}`
`{(1, 1), (1, 2), (2, 1), (2, 2)}`
`{(1, 1), (2, 2)}`
`{(1, 1), (1. 2), (2, 5) (2, 6)}`
I and II
I and III
II and III
I, II and III
an equivalence relation
a symmetric relation only
a transitive relation only
None of the above
reflexive, transitive but not symmetric
reflexive, symmetric but not transitive
symmetric, transitive but not reflexive
reflexive but neither symmetric nor transitive
`2`
`4`
`6`
`8`
`4`
`6`
`32`
`64`
Relation is symmetric and transitive only
Relation is reflexive and transitive only
Relation is reflexive and symmetric only
Relation is reflexive symmetric and transitive
`16`
`15`
`14`
`12`
`2`
`3`
`5`
`9`
`0`
`1`
`n`
`n^2`
`36`
`33`
`20`
`6`
R is reflexive and symmetric, but not transitive
R is reflexive and transitive, but not symmetric
R is reflexive, but neither symmetric not transitive
R is reflexive, symmetric and transitive
`16`
`32`
`64`
`128`
R is reflexive
R is symmetric and transitive
R is transitive, but not reflexive
R is neither reflexive nor transitive
Assertion : `{x in R | x^2 < 0}` is not a set. Here, `R` is the set of real numbers.
Reason : For every real number `x, x^2 >= 0` .
R is reflexive only
R is symmetric only
R is transitive only
R is reflexive and transitive
R is symmetric, but not reflexive
R is reflexive, but not symmetric
R is symmetric and reflexive, but not transitive
R is an equivalence relation
`{(0, 6)}`
`{(0, 6), (sqrt(11), 5), (3, 3sqrt(3))}`
`{(6, 0), (0, 6)}`
`{(sqrt(11), 5), (2, 4sqrt(2)), (5, sqrt(11)), (4 sqrt(2), 2)}`
Only I
Only II
Both I and II
Neither I nor II
`6`
`8`
`10`
`12`