Trigonometry
Inverse Trigonometric Functions
MCQ (Single Correct Answer)Subjective
1
WB JEE 2017
MCQ (Single Correct Answer)
+2
-0.5
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
2
WB JEE 2016
MCQ (Single Correct Answer)
+1
-0.25
Let R be a relation defined on the set Z of all integers and xRy, when x + 2y is divisible by 3, then
A
R is not transitive
B
R is symmetric only
C
R is an equivalence relation
D
R is not an equivalence relation
3
WB JEE 2016
MCQ (Single Correct Answer)
+1
-0.25
If A = {5n $$-$$ 4n $$-$$ 1 : n$$ \in $$N} and B = {16(n $$-$$ 1) : n$$ \in $$N}, then
A
A = B
B
A $$ \cap $$ B = $$\phi$$
C
A $$ \subseteq $$ B
D
B $$ \subseteq $$ A
WB JEE Subjects