CUET Mathematics - A function f: R arrow R defined by f(x) = x/x^2+1 is (where R is a set of real number) | PYQs + Solutions

CUET Mathematics 2025 2 June Shift 1

Algebra

Medium

core

one-one but not onto

onto but not one-one

neither one-one nor onto

both one-one and onto

✅ Correct Option: 3

Related questions:

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Assume that R is a relation on the set Z of integers and it is given by $(x, y) \in R \Leftrightarrow |x - y| \leq 1$ . Then, R is

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The function $f: \mathbb{R} o \mathbb{R}, f(x) = |x|$ ( $\mathbb{R}$ is the set of real numbers) is

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Which of the following are correct?

(A) If a ≡ b(mod n), then -a ≡ -b (mod n)

(B) If a + b = c, then a(mod n) + b(mod n) ≡ (a + b + c)(mod n).

(D) If a ≡ b (mod n), then (a + k) ≡ (b + k)(mod n), ∀ k ∈ I.

Choose the correct answer from the options given below:

CUET Mathematics 2025 2 June Shift 1 PYQs