Relations and Functions

CBSE Class 12 · Mathematics · 13 past questions

6 of 13 · show all

1. Q2 2026

   Show that $f : R \to R$ defined as $f(x) = \dfrac{x}{\sqrt{1 + x^2}}$ is one-one but not onto.

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2. Q5 2025

   For real x, let $f(x) = x^3 + 5x + 1$. Then…

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3. Q6 2025

   If $f:\mathbb{N}\to\mathbb{W}$ is defined as…

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4. Q7 2024

   A function f : R_+ → R (where R_+ is the set of all non-negative real numbers) defined by f(x) = 4x + 3 is…

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5. Q8 2024

   Let $R_+$ denote the set of all non-negative real numbers. Then the function $f : R_+ \to R_+$ defined as…

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6. Q10 2024

   Let $f : R_+ \to [-5, \infty)$ be defined as $f(x) = 9x^2 + 6x - 5$, where $R_+$ is the set of all…

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