1
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
2
WB JEE 2017
MCQ (Single Correct Answer)
+1
-0.25
Change Language
On R, the relation $$\rho$$ be defined by 'x$$\rho$$y holds if and only if x $$-$$ y is zero or irrational'. Then,
A
$$\rho$$ is reflexive and transitive but not symmetric
B
$$\rho$$ is reflexive and symmetric but not transitive
C
$$\rho$$ is symmetric and transitive but not reflexive
D
$$\rho$$ is equivalence relation
3
WB JEE 2017
MCQ (Single Correct Answer)
+2
-0.5
Change Language
On set A = {1, 2, 3}, relations R and S are given by

R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 1)},

S = {(1, 1), (2, 2), (3, 3), (1, 3), (3, 1)}. Then,
A
R $$ \cup $$ S is an equivalence relation
B
R $$ \cup $$ S is reflexive and transitive but not symmetric
C
R $$ \cup $$ S is reflexive and symmetric but not transitive
D
R $$ \cup $$ S is symmetric and transitive but not reflexive
WB JEE Subjects
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
CBSE
Class 12