1

MHT CET 2023 9th May Morning Shift

MCQ (Single Correct Answer)

+2

-0

An object is moving in the clockwise direction around the unit circle $$x^2+y^2=1$$. As it passes through the point $$\left(\frac{1}{2}, \frac{\sqrt{3}}{2}\right)$$, its $$y$$-co-ordinate is decreasing at the rate of 3 units per sec. The rate at which the $$x$$-co-ordinate changes at this point is

2

MHT CET 2023 9th May Morning Shift

MCQ (Single Correct Answer)

+2

-0

A spherical raindrop evaporates at a rate proportional to its surface area. If originally its radius is $$3 \mathrm{~mm}$$ and 1 hour later it reduces to $$2 \mathrm{~mm}$$, then the expression for the radius $$R$$ of the raindrop at any time $$t$$ is

3

MHT CET 2021 21th September Evening Shift

MCQ (Single Correct Answer)

+2

-0

The abscissa of the points, where the tangent to the curve $$y=x^3-3 x^2-9 x+5$$ is parallel to $$X$$ axis are

4

MHT CET 2021 21th September Evening Shift

MCQ (Single Correct Answer)

+2

-0

For all real $$x$$, the minimum value of the function $$f(x)=\frac{1-x+x^2}{1+x+x^2}$$ is

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

Number in Brackets after Paper Indicates No. of Questions

MHT CET 2023 10th May Evening Shift (5)
MHT CET 2023 10th May Morning Shift (5)
MHT CET 2023 9th May Evening Shift (6)
MHT CET 2023 9th May Morning Shift (5)
MHT CET 2021 21th September Evening Shift (3)
MHT CET 2021 21th September Morning Shift (4)
MHT CET 2021 20th September Evening Shift (4)
MHT CET 2021 20th September Morning Shift (3)

MHT CET Subjects

Physics

Mechanics

Motion
Laws of Motion
Circular Motion
Work, Energy and Power
Center of Mass and Collision
Rotational Motion
Gravitation
Simple Harmonic Motion
Fluid Mechanics
Elasticity
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
Redox Reactions
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
d and f Block Elements
Metallurgy
Coordination Compounds
Environmental Chemistry

Organic Chemistry

Mathematics

Algebra

Sets and Relations
Logarithms
Sequences and Series
Binomial Theorem
Permutations and Combinations
Probability
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