1

MHT CET 2023 12th May Morning Shift

MCQ (Single Correct Answer)

+2

-0

The angle between the tangents to the curves $$y=2 x^2$$ and $$x=2 y^2$$ at $$(1,1)$$ is

2

MHT CET 2023 12th May Morning Shift

MCQ (Single Correct Answer)

+2

-0

The function $$\mathrm{f}(x)=\sin ^4 x+\cos ^4 x$$ is increasing in

3

MHT CET 2023 12th May Morning Shift

MCQ (Single Correct Answer)

+2

-0

A ladder 5 meters long rests against a vertical wall. If its top slides downwards at the rate of $$10 \mathrm{~cm} / \mathrm{s}$$, then the angle between the ladder and the floor is decreasing at the rate of ________ rad./s when it's lower end is $$4 \mathrm{~m}$$ away from the wall.

4

MHT CET 2023 11th May Evening Shift

MCQ (Single Correct Answer)

+2

-0

If the function $$f$$ is given by $$f(x)=x^3-3(a-2) x^2+3 a x+7$$, for some $$\mathrm{a} \in \mathbb{R}$$, is increasing in $$(0,1]$$ and decreasing in $$[1,5)$$, then a root of the equation $$\frac{\mathrm{f}(x)-14}{(x-1)^2}=0(x \neq 1)$$ is

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

Number in Brackets after Paper Indicates No. of Questions

MHT CET 2023 14th May Evening Shift (4)
MHT CET 2023 14th May Morning Shift (3)
MHT CET 2023 13th May Evening Shift (5)
MHT CET 2023 13th May Morning Shift (3)
MHT CET 2023 12th May Evening Shift (5)
MHT CET 2023 12th May Morning Shift (3)
MHT CET 2023 11th May Evening Shift (5)
MHT CET 2023 11th May Morning Shift (2)
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 2022 11th August Evening Shift (5)
MHT CET 2021 24th September Evening Shift (3)
MHT CET 2021 24th September Morning Shift (3)
MHT CET 2021 23rd September Evening Shift (3)
MHT CET 2021 23th September Morning Shift (3)
MHT CET 2021 22th September Evening Shift (3)
MHT CET 2021 22th September Morning Shift (2)
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 2020 16th October Evening Shift (3)
MHT CET 2020 16th October Morning Shift (2)

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

Sets and Relations Logarithms Quadratic Equations 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