PREVIOUS NEXT
1
AP EAPCET 2025 - 24th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

The set of all real values of $x$ for which $\frac{x^2-1}{(x-4)(x-3)} \geq 1$ is

A

$[-1,1] \cup(3,4)$

B

$\left[\frac{13}{7}, 3\right) \cup(4, \infty)$

C

$\left(-\infty, \frac{13}{7}\right] \cup(3,4)$

D

$R-[3,4]$

2
AP EAPCET 2025 - 24th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $\alpha, \beta$ and $\gamma$ are the roots of the equation $2 x^3+3 x^2-5 x-7=0$, then $\frac{1}{\alpha^2}+\frac{1}{\beta^2}+\frac{1}{\gamma^2}=$
A

$-\frac{17}{49}$

B

$-\frac{23}{49}$

C

$\frac{55}{49}$

D

$\frac{67}{49}$

3
AP EAPCET 2025 - 24th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

Two roots of the equation, $a x^4+b x^3+c x^2+d x+e=0$ are positive and equal. If the product of the other two real roots is 1 , then

A

$b e^2=a^2 d$

B

$3 e+\frac{2 b \sqrt{e}}{\sqrt{a}}+c=a$

C

$e+2 b \sqrt{e}+3 c=a \sqrt{a}$

D

$b^2 e=a d^2$

4
AP EAPCET 2025 - 23rd May Evening Shift
MCQ (Single Correct Answer)
+1
-0
Let $(a-3) x^2+12 x+(a+6)>0, \forall x \in R$ and $a \in(\ell, \infty)$. If $a$ is the least positive integral value of $a$, then the roots of $(\alpha-3) x^2+12 x+(\ell+2)=0$ are
A

1,2

B

2,3

C

$-1,-2$

D

$-2,-3$

PREVIOUS NEXT

AP EAPCET Subjects

Browse all chapters by subject

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
Alternating Current Capacitor Electromagnetic Waves Electrostatics Current Electricity Electromagnetic Induction Magnetism and Matter Moving Charges and Magnetism
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 Inverse Trigonometric Functions Trigonometric Equations Properties of Triangles
Calculus
Functions Area Under The Curves Definite Integration Limits, Continuity and Differentiability Application of Derivatives Differentiation Differential Equations Indefinite Integration
Coordinate Geometry
Hyperbola Straight Lines and Pair of Straight Lines Parabola Circle Ellipse
EXAM MAP

Browse past year questions by exam & subject

Joint Entrance Examination
JEE Main JEE Advanced MHT CET BITSAT COMEDK WB JEE KCET VITEEE AP EAPCET TS EAMCET IAT (IISER)
Medical
NEET AIIMS MHT CET (Biology)
Graduate Aptitude Test in Engineering
GATE CSE GATE ECE GATE EE GATE ME GATE CE GATE PI GATE IN GATE Data Science and Artificial Intelligence
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12