Mathematics · JEE

Polynomial, rational, trigonometric, logarithmic and exponential functions Concepts for JEE

7+ syllabus-aligned questions available

Quick answer

Master Polynomial, rational, trigonometric, logarithmic and exponential functions by understanding definitions, standard results, and typical JEE question patterns — then practise with syllabus-aligned MCQs on Goodmarks.

Build clear conceptual foundations for Polynomial, rational, trigonometric, logarithmic and exponential functions before speed practice. This guide covers what JEE expects and how to test yourself with MCQs.

Concept explainer

Polynomial, rational, trigonometric, logarithmic and exponential 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 Polynomial, rational, trigonometric, logarithmic and exponential functions in the JEE syllabus
Memorise key formulas and standard results linked to Polynomial, rational, trigonometric, logarithmic and exponential functions
Practise 20–40 syllabus-aligned MCQs with step-by-step solutions

JEE tips

Revise Polynomial, rational, trigonometric, logarithmic and exponential functions with a one-page formula sheet before attempting mixed tests
After each practice set, log mistakes specific to Polynomial, rational, trigonometric, logarithmic and exponential functions and reattempt after 48 hours

Common trap

Students often rush Polynomial, rational, trigonometric, logarithmic and exponential 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

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Q1MathsUnit 7: Limit, Continuity and Differentiability

If a monomial

\frac{2}{5} x^{2} y^{2},

binomial

2 x+3 y

and a trinomial

2 x+3 y+4 z

are added, then the resultant expression is

a

Q2MathsUnit 7: Limit, Continuity and Differentiability

Which type of polynomial is

3 x^{3} ?

Q3MathsUnit 7: Limit, Continuity and Differentiability

Classify the following as linear, quadratic and cubic polynomials:

\boldsymbol{x}^{\boldsymbol{3}}-\boldsymbol{4}

Q4MathsUnit 7: Limit, Continuity and Differentiability

Which type of polynomial is

(2+x) ?

Q5MathsUnit 7: Limit, Continuity and Differentiability

If the quotient of

x^{4}-11 x^{3}+44 x^{2}-

76 x+48 .

When divided by

\left(x^{2}-7 x+\right.

12) is

A x^{2}+B x+C

, then the descending order of

A, B, C

Q6MathsUnit 7: Limit, Continuity and Differentiability

The length of each side of the cubical box is

2.4 m .

Its volume is:

Q7MathsUnit 7: Limit, Continuity and Differentiability

Find the Quotient and the Remainder when the first polynomial is divided by the second.

\left(x^{4}-2 x^{3}+2 x^{2}+x+4\right)

\left(x^{2}+x+\right.

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Frequently asked questions

What concepts in Polynomial, rational, trigonometric, logarithmic and exponential functions are essential for JEE?

Focus on core ideas across Polynomial, rational, trigonometric, logarithmic and exponential functions. JEE tests application, not just memorisation.