1

BITSAT 2022

MCQ (Single Correct Answer)

+3

-1

A running track of 440 ft is to be laid out enclosing a football field, the shape of which is a rectangle with a semi-circle at each end. If the area of the rectangular portion is to be maximum, then the lengths of its side are

2

BITSAT 2022

MCQ (Single Correct Answer)

+3

-1

A spherical balloon is filled with 4500$$\pi$$ cubic meters of helium gas. If a leak in the balloon causes the gas to escape at the rate of 72$$\pi$$ cubic meters per minute then the rate (in meters per minute) at which the radius of the balloon decreases 49 min after the leakage began is

3

BITSAT 2021

MCQ (Single Correct Answer)

+3

-1

The slope of the tangent to the curve x = t^{2} + 3t $$-$$ 8, y = 2t^{2} $$-$$ 2t $$-$$ 5 at the point t = 2 is

Questions Asked from Application of Derivatives (MCQ (Single Correct Answer))

Number in Brackets after Paper Indicates No. of Questions

BITSAT Subjects

Physics

Mechanics

Units & Measurement and Dimensions
Motion
Laws of Motion
Circular Motion
Work, Energy and Power
Center of Mass and Collision
Rotational Motion
Gravitation
Simple Harmonic Motion
Fluid Mechanics
Waves
Heat and Thermodynamics

Optics

Electromagnetism

Electrostatics
Current Electricity
Capacitor
Moving Charges and Magnetism
Magnetism and Matter
Electromagnetic Induction
Alternating Current
Electromagnetic Waves

Modern Physics

Chemistry

Physical Chemistry

Some Basic Concepts of Chemistry
Atomic Structure
States of Matter
Thermodynamics
Chemical Equilibrium
Ionic Equilibrium
Liquid Solution
Surface Chemistry
Solid State
Electrochemistry
Chemical Kinetics

Inorganic Chemistry

Periodic Table and Periodicity
Chemical Bonding and Molecular Structure
Hydrogen and It's Compounds
s-Block Elements
p-Block Elements
Coordination Compounds
Environmental Chemistry

Organic Chemistry

Mathematics

Algebra

Logarithms
Quadratic Equations
Sequences and Series
Permutations and Combinations
Probability
Sets and Relations
Binomial Theorem
Vector Algebra
Three Dimensional Geometry
Matrices and Determinants
Statistics
Mathematical Reasoning
Linear Programming
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

English Proficiency

Logical Reasoning

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