ExamSIDE (Powered by ExamGOAL)
Questions
PREVIOUS NEXT
1
AP EAPCET 2024 - 19th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $f(x)=\left\{\begin{array}{ll}3 a x-2 b, & x>1 \\ a x+b+1, & x<1\end{array}\right.$ and

$\lim \limits_{x \rightarrow 1} f(x)$ exists, then the relation between $a$ and $b$ is

A
$3 a-2 b=1$
B
$2 a-3 b=1$
C
$2 a+3 b=1$
D
$2 a+3 b=-1$
2
AP EAPCET 2024 - 19th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
The function $f(x)=\left\{\begin{array}{ll}\frac{2}{5-x}, & x<3 \\ 5-x, & x \geq 3\end{array}\right.$ is
A
left discontinuous at $x=3$
B
right discontinuous at $x=5$
C
left continuous at $x=3$
D
discontinuous at $x=5$
3
AP EAPCET 2024 - 19th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $f(x)=\left\{\begin{array}{cl}x^\alpha \sin \left(\frac{1}{x}\right), & x \neq 0 \\ 0, & x=0\end{array}\right.$

which of the following is true?

A
$f(x)$ is continuous and differentiable if $0 \leq \alpha<1$
B
$f(x)$ is discontinuous and not differentiable if $0 \leq \alpha<1$
C
$f(x)$ is continuous and differentiable for $\alpha>1$
D
$f(x)$ is discontinuous and differentiable for $\alpha>1$
4
AP EAPCET 2024 - 19th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
Let $f(x)=\min \left\{x, x^2\right\}$ for every real number of $x$, then
A
$f(x)$ is continuous for all $x$
B
$f(x)$ is differentiable for all $x$
C
$f(x)=2$ for all $x>1$
D
$f(x)$ is not differentiable at three values of $x$
PREVIOUS NEXT
AP EAPCET Subjects
Physics
Mechanics
Units & Measurement and Dimensions Vector Algebra Motion in a Straight Line Motion in a Plane Circular Motion Laws of Motion Work, Energy and Power Center of Mass and Collision Rotational Motion Elasticity Fluid Mechanics Heat and Thermodynamics Simple Harmonic Motion Waves Gravitation
Optics
Ray Optics Wave Optics
Electromagnetism
Electrostatics Current Electricity Capacitor Moving Charges and Magnetism Magnetism and Matter Electromagnetic Induction Alternating Current Electromagnetic Waves
Modern Physics
Atoms and Nuclei Dual Nature of Radiation Semiconductor Devices and Logic Gates Communication Systems
Chemistry
Physical Chemistry
Some Basic Concepts of Chemistry Atomic Structure States of Matter Thermodynamics Chemical Equilibrium Ionic Equilibrium Liquid Solution Redox Reactions Surface Chemistry Solid State Electrochemistry Chemical Kinetics
Inorganic Chemistry
Periodic Table and Periodicity Chemical Bonding and Molecular Structure Metallurgy Hydrogen and It's Compounds s-Block Elements p-Block Elements d and f Block Elements Coordination Compounds Environmental Chemistry
Organic Chemistry
IUPAC Nomenclatures General Organic Chemistry Isomerism Hydrocarbons Haloalkanes and Haloarenes Alcohol, Phenols and Ethers Aldehyde and Ketone Carboxylic Acids and Its Derivatives Compounds Containing Nitrogen Polymers Biomolecules Chemistry in Everyday Life Practical Organic Chemistry
Mathematics
Algebra
Sets and Relations Logarithms Quadratic Equations Sequences and Series Permutations and Combinations Probability Binomial Theorem Vector Algebra Three Dimensional Geometry Matrices and Determinants Statistics Mathematical Reasoning Complex Numbers
Trigonometry
Trigonometric Ratios & Identities Trigonometric Equations Inverse Trigonometric Functions Properties of Triangles
Calculus
Functions Limits, Continuity and Differentiability Differentiation Application of Derivatives Indefinite Integration Definite Integration Area Under The Curves Differential Equations
Coordinate Geometry
Straight Lines and Pair of Straight Lines Circle Parabola Ellipse Hyperbola
EXAM MAP
Joint Entrance Examination
JEE MainJEE AdvancedMHT CETBITSATCOMEDKWB JEEKCETVITEEEAP EAPCETTS EAMCETIAT (IISER)
Medical
NEETAIIMSMHT CET (Biology)
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12