1

WB JEE 2023

MCQ (Single Correct Answer)

+1

-0.25

$$\mathop {\lim }\limits_{x \to \infty } \left\{ {x - \root n \of {(x - {a_1})(x - {a_2})\,...\,(x - {a_n})} } \right\}$$ where $${a_1},{a_2},\,...,\,{a_n}$$ are positive rational numbers. The limit

2

WB JEE 2023

MCQ (Single Correct Answer)

+1

-0.25

Let $$f:[1,3] \to R$$ be continuous and be derivable in (1, 3) and $$f'(x) = {[f(x)]^2} + 4\forall x \in (1,3)$$. Then

3

WB JEE 2023

MCQ (Single Correct Answer)

+1

-0.25

f(x) is a differentiable function and given $$f'(2) = 6$$ and $$f'(1) = 4$$, then $$L = \mathop {\lim }\limits_{h \to 0} {{f(2 + 2h + {h^2}) - f(2)} \over {f(1 + h - {h^2}) - f(1)}}$$

4

WB JEE 2023

MCQ (Single Correct Answer)

+1

-0.25

Let $$f(x) = \left\{ {\matrix{ {x + 1,} & { - 1 \le x \le 0} \cr { - x,} & {0 < x \le 1} \cr } } \right.$$

Questions Asked from Limits, Continuity and Differentiability (MCQ (Single Correct Answer))

Number in Brackets after Paper Indicates No. of Questions

WB JEE Subjects

Physics

Mechanics

Units & Measurements
Vector Algebra
Motion
Laws of Motion
Work Power & Energy
Center of Mass
Rotational Motion
Properties of Matter
Heat and Thermodynamics
Simple Harmonic Motion
Waves
Gravitation

Electricity

Optics

Modern Physics

Chemistry

Physical Chemistry

Some Basic Concepts of Chemistry
Atomic Structure
Redox Reaction
Gaseous State
Chemical Equilibrium
Liquid Solution
Ionic Equilibrium
Thermodynamics
Chemical Kinetics
Radioactivity and Nuclear Chemistry
Electrochemistry
Solid State
Surface Chemistry

Inorganic Chemistry

Periodic Table
Chemical Bonding
Metallurgy
Hydrogen and It's Compounds
Some s Block Elements
Some P Block Elements
d and f Block Elements
Coordination Compounds

Organic Chemistry

Mathematics

Algebra

Logarithms
Sequence and Series
Quadratic Equations
Complex Numbers
Permutations and Combinations
Mathematical Induction and Binomial Theorem
Matrices and Determinants
Vector Algebra
Three Dimensional Geometry
Probability
Statistics
Sets and Relations

Trigonometry

Coordinate Geometry

Calculus