1

WB JEE 2023

MCQ (Single Correct Answer)

+2

-0.5

If $$x = \sin \theta $$ and $$y = \sin k\theta $$, then $$(1 - {x^2}){y_2} - x{y_1} - \alpha y = 0$$, for $$\alpha=$$

2

WB JEE 2022

MCQ (Single Correct Answer)

+1

-0.25

If $$y = {e^{{{\tan }^{ - 1}}x}}$$, then

3

WB JEE 2021

MCQ (Single Correct Answer)

+1

-0.25

Let $$g(x) = \int\limits_x^{2x} {{{f(t)} \over t}dt} $$ where x > 0 and f be continuous function and f(2x) = f(x), then

4

WB JEE 2021

MCQ (Single Correct Answer)

+1

-0.25

A bulb is placed at the centre of a circular track of radius 10 m. A vertical wall is erected touching the track at a point P. A man is running along the track with a speed of 10 m/sec. Starting from P the speed with which his shadow is running along the wall when he is at an angular distance of 60$$^\circ$$ from P is

Questions Asked from Differentiation (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

Electrostatics Current Electricity Capacitor Magnetism Electromagnetic Induction Alternating Current Electromagnetic Waves

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

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

Trigonometry

Coordinate Geometry

Calculus