1
WB JEE 2010
MCQ (Single Correct Answer)
+1
-0.25

If A = {1, 2, 3, 4}, B = {1, 2, 3, 4, 5, 6} are two sets, and function f : A $$\to$$ B is defined by f(x) = x + 2 $$\forall$$ x$$\in$$ A, then the function f is

A
bijective
B
onto
C
one-one
D
many-one
2
WB JEE 2010
MCQ (Single Correct Answer)
+1
-0.25

The function $$f(x) = \sec \left[ {\log \left( {x + \sqrt {1 + {x^2}} } \right)} \right]$$ is

A
odd
B
even
C
neither odd nor even
D
constant
3
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
4
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
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