Trigonometry
Inverse Trigonometric Functions
MCQ (Single Correct Answer)Subjective
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 2025
MCQ (Single Correct Answer)
+1
-0.25

The number of reflexive relations on a set $A$ of $n$ elements is equal to

A
$2^{n^2}$
B
$n^2$
C
$2^{n(n-1)}$
D
$n^2-n$
4
WB JEE 2024
MCQ (Single Correct Answer)
+1
-0.25

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
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