Search Colleges, Exams, Schools & more
Login
The Intermediate Value Theorem - Practice Questions & MCQ
Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main
Quick Facts
-
12 Questions around this concept.
Solve by difficulty
EASYLet $a_1<a_2<a_3<a_4$ then the number of real roots of equation $\left(x-a_1\right)\left(x-a_3\right)+\left(x-a_2\right)\left(x-a_4\right)=0$ equals
If $a_1<a_2<a_3<a_4<a_5<a_6$ then number of real roots of equation $\left(x-a_1\right)\left(x-a_3\right)\left(x-a_5\right)+\left(x-a_2\right)\left(x-a_4\right)\left(x-a_6\right)=0$ equals
If $f(x)=x^2-1$, then $f(x)=\frac{5}{4}$ has atleast ___ Solution in $[-1,2]$
JEE Main 2026: January Question Paper with Solutions
JEE Main 2026 Tools: College Predictor
JEE Main 2026: Important Formulas | Foreign Universities in India
Concepts Covered - 1
The Intermediate Value Theorem
The Intermediate Value Theorem (IMVT)
Let $f$ be continuous over a closed interval $[a, b]$ and $f(a) \neq f(b)$. If $z$ is any real number between $f(a)$ and $f(b)$, then there is at least one $x$ in $[a, b]$ satisfying $f(x)=z$
An important result from IMVT
If $f(x)$ is a continuous function in $[a, b]$ and $f(a)$ and $f(b)$ are of opposite signs, then there is at least one root of $f(x)$ lying in $(a, b)$.
Study it with Videos
"Stay in the loop. Receive exam news, study resources, and expert advice!"
Books
Reference Books
Clear your Basics with NCERT
E-books & Sample Papers
Get Answer to all your questions
B.Tech/B.Arch Admissions OPEN
Among top 100 Universities Globally in the Times Higher Education (THE) Interdisciplinary Science Rankings 2026
Amrita University B.Tech 2026
ApplyApplication Deadline: 15th April | Recognized as Institute of Eminence by Govt. of India | NAAC ‘A++’ Grade | Upto 75% Scholarships
VIT Bhopal University | B.Arch Admissions 2026
ApplyMark presence in the Modern Architectural field with Bachelor of Architecture | Highest CTC : 70 LPA | Accepts NATA Score
VIT Bhopal University | Integrated M.Tech Admissions 2026
ApplyIntegrated M.Tech admissions open @ VIT Bhopal University | Highest CTC 70 LPA | Application Closing Soon | Apply now
MAHE, Manipal - B.Tech Admissions 2026
ApplyFinal Application Deadline: 23rd March | NAAC A++ Accredited | Accorded institution of Eminence by Govt. of India | NIRF Rank #3
Western India Inst of Aeronautics (WIIA) Admissions 2026
ApplyTop Recruiters: Qatar Airways, Air Asia, SpiceJet, Flydocs etc.