Mathematics · JEE

Real-valued functions, algebra of functions Concepts for JEE

7+ syllabus-aligned questions available

Quick answer

Master Real-valued functions, algebra of functions by understanding definitions, standard results, and typical JEE question patterns — then practise with syllabus-aligned MCQs on Goodmarks.

Build clear conceptual foundations for Real-valued functions, algebra of functions before speed practice. This guide covers what JEE expects and how to test yourself with MCQs.

Concept explainer

Real-valued functions, algebra of functions is a core JEE Main Mathematics subtopic under Limit, Continuity and Differentiability. Master the definitions, standard results, and typical MCQ patterns tested in JEE Main and Advanced.

Key points

Understand the definition and scope of Real-valued functions, algebra of functions in the JEE syllabus
Memorise key formulas and standard results linked to Real-valued functions, algebra of functions
Practise 20–40 syllabus-aligned MCQs with step-by-step solutions

JEE tips

Revise Real-valued functions, algebra of functions with a one-page formula sheet before attempting mixed tests
After each practice set, log mistakes specific to Real-valued functions, algebra of functions and reattempt after 48 hours

Common trap

Students often rush Real-valued functions, algebra of functions questions without checking units, sign conventions, or boundary conditions — always verify assumptions before calculating.

Syllabus context

Part of Limit, Continuity and Differentiability in JEE Main Mathematics.

Free sample questions

Attempt 7 free MCQs for Real-valued functions, algebra of functions. Unlock the full bank with Pro.

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Q1MathsUnit 7: Limit, Continuity and Differentiability

5.63 \times 11

is equal to

Q2MathsUnit 7: Limit, Continuity and Differentiability

Jitubhai buys a T-shirt at Rs 500 and sold it to his friend at Rs

500 .

profit

=?

Q3MathsUnit 7: Limit, Continuity and Differentiability

f: R^{+} \rightarrow R^{+}, f(x)=x^{2}+2

and

g:

\boldsymbol{R}^{+} \rightarrow \boldsymbol{R}^{+}, \boldsymbol{g}(\boldsymbol{x})=\sqrt{\boldsymbol{x}+\mathbf{1}}

then

(\boldsymbol{f}+\boldsymbol{g})(\boldsymbol{x})

equals

Q4MathsUnit 7: Limit, Continuity and Differentiability

Fill in the bank with

\langle,>,=\operatorname{sign}

Q5MathsUnit 7: Limit, Continuity and Differentiability

On subtracting -5 from

0,

we get

Q6MathsUnit 7: Limit, Continuity and Differentiability

The value of

\sqrt{\mathbf{9 0 0}}+\sqrt{\mathbf{0 . 0 9}}-

\sqrt{0.000009}

Q7MathsUnit 7: Limit, Continuity and Differentiability

Simplify

(2 a+b)(c-2 d)+(a-

\boldsymbol{b})(\boldsymbol{2} \boldsymbol{c}+\boldsymbol{3} \boldsymbol{d})+\boldsymbol{4}(\boldsymbol{a} \boldsymbol{c}+\boldsymbol{b} \boldsymbol{d})

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Frequently asked questions

What concepts in Real-valued functions, algebra of functions are essential for JEE?

Focus on core ideas across Real-valued functions, algebra of functions. JEE tests application, not just memorisation.