1

MHT CET 2023 12th May Evening Shift

MCQ (Single Correct Answer)

+2

-0

If $$\mathrm{f}(x)=\sin ^{-1}\left(\frac{2 \log x}{1+(\log x)^2}\right)$$, then $$\mathrm{f}^{\prime}(\mathrm{e})$$ is

2

MHT CET 2023 12th May Evening Shift

MCQ (Single Correct Answer)

+2

-0

For $$x>1$$, if $$(2 x)^{2 y}=4 \mathrm{e}^{2 x-2 y}$$, then $$\left(1+\log _e 2 x\right)^2 \frac{d y}{d x}$$ is equal to

3

MHT CET 2023 12th May Evening Shift

MCQ (Single Correct Answer)

+2

-0

If $$\tan y=\frac{x \sin \alpha}{1-x \cos \alpha}$$ and $$\frac{\mathrm{d} y}{\mathrm{~d} x}=\frac{\mathrm{m}}{x^2+2 \mathrm{n} x+1}$$, then $$\mathrm{m}^2+\mathrm{n}^2$$ is

4

MHT CET 2023 12th May Morning Shift

MCQ (Single Correct Answer)

+2

-0

The derivative of $$\mathrm{f}(\tan x)$$ w.r.t. $$\mathrm{g}(\sec x)$$ at $$x=\frac{\pi}{4}$$ where $$\mathrm{f}^{\prime}(1)=2$$ and $$\mathrm{g}^{\prime}(\sqrt{2})=4$$ is

Questions Asked from Differentiation (MCQ (Single Correct Answer))

Number in Brackets after Paper Indicates No. of Questions

MHT CET 2023 14th May Evening Shift (4)
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MHT CET 2022 11th August Evening Shift (3)
MHT CET 2021 24th September Evening Shift (3)
MHT CET 2021 24th September Morning Shift (2)
MHT CET 2021 23rd September Evening Shift (3)
MHT CET 2021 23th September Morning Shift (3)
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MHT CET 2020 16th October Evening Shift (1)
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MHT CET Subjects

Physics

Mechanics

Units & Measurement and Dimensions Vector Algebra 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 Waves Electromagnetic Induction Alternating Current

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 Nuclear Chemistry

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

Mathematics

Algebra

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Trigonometry

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Calculus

Functions Limits, Continuity and Differentiability Differentiation Application of Derivatives Indefinite Integration Definite Integration Area Under The Curves Differential Equations

Coordinate Geometry