1
WB JEE 2024
MCQ (Single Correct Answer)
+1
-0.25
Change Language

In R, a relation p is defined as follows: $$\forall a, b \in \mathbb{R}, a p$$ holds iff $$a^2-4 a b+3 b^2=0$$. Then

A
$$\mathrm{p}$$ is equivalence relation
B
$$\mathrm{p}$$ is only symmetric
C
$$\mathrm{p}$$ is only reflexive
D
p is only transitive
2
WB JEE 2024
MCQ (Single Correct Answer)
+1
-0.25
Change Language

Let A be the set of even natural numbers that are < 8 & B be the set of prime integers that are $$<7$$ The number of relations from A to B are

A
32
B
2$$^{9-1}$$
C
92
D
29
3
WB JEE 2024
MCQ (Single Correct Answer)
+2
-0.5
Change Language

For the real numbers $$x$$ & $$y$$, we write $$x$$ p y iff $$x-y+\sqrt{2}$$ is an irrational number. Then relation p is

A
reflexive
B
symmetric
C
transitive
D
equivalence relation
4
WB JEE 2023
MCQ (Single Correct Answer)
+1
-0.25
Change Language

Let A, B, C are subsets of set X. Then consider the validity of the following set theoretic statement:

A
A $$\cup$$ (B \ C) = (A $$\cup$$ B) \ (A $$\cup$$ C)
B
(A \ B) \ C = A \ (B $$\cup$$ C)
C
(A $$\cup$$ B) \ A = A \ B
D
A \ C = B \ C
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