1
WB JEE 2018
MCQ (Single Correct Answer)
+1
-0.25
Change Language
On R, a relation $$\rho $$ is defined by x$$\rho $$y if and only if x $$-$$ y is zero or irrational. Then,
A
$$\rho $$ is equivalence relation
B
$$\rho $$ is reflexive but neither symmetric nor transitive
C
$$\rho $$ is reflexive and symmetric but not transitive
D
$$\rho $$ is symmetric and transitive but not reflexive
2
WB JEE 2018
MCQ (Single Correct Answer)
+1
-0.25
Change Language
On the set R of real numbers, the relation $$\rho $$ is defined by x$$\rho $$y, (x, y) $$ \in $$ R.
A
If | x $$-$$ y | < 2, then $$\rho $$ is reflexive but neither symmetric nor transitive.
B
If x $$-$$ y < 2, then $$\rho $$ is reflexive and symmetric but not transitive.
C
If | x | $$ \ge $$ y, then $$\rho $$ is reflexive and transitive but not symmetric
D
If x > | y |, then $$\rho $$ is transitive but neither reflexive nor symmetric.
3
WB JEE 2018
MCQ (Single Correct Answer)
+2
-0.5
Change Language
Let $$\rho $$ be a relation defined on N, the set of natural numbers, as

$$\rho $$ = {(x, y) $$ \in $$ N $$ \times $$ N : 2x + y = 41}. Then
A
$$\rho $$ is an equivalence relzation.
B
$$\rho $$ is only reflexive relation
C
$$\rho $$ is only symmetric relation
D
$$\rho $$ is not transitive
4
WB JEE 2017
MCQ (Single Correct Answer)
+1
-0.25
Change Language
On the set R of real numbers we define xPy if and only if xy $$ \ge $$ 0. Then, the relation P is
A
reflexive but not symmetric
B
symmetric but not reflexive
C
transitive but not reflexive
D
reflexive and symmetric but not transitive
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