1

MHT CET 2023 14th May Morning Shift

MCQ (Single Correct Answer)

+2

-0

$$\lim _\limits{x \rightarrow \infty} x^3\left\{\sqrt{x^2+\sqrt{1+x^4}}-x \sqrt{2}\right\}=$$

2

MHT CET 2023 13th May Evening Shift

MCQ (Single Correct Answer)

+2

-0

$$\lim _\limits{x \rightarrow 0} \frac{\sqrt{1+x \sin x}-\sqrt{\cos x}}{\tan ^2 \frac{x}{2}}=$$

3

MHT CET 2023 13th May Evening Shift

MCQ (Single Correct Answer)

+2

-0

If $$f(x)$$ is continuous on its domain $$[-2,2]$$, where

$$f(x)=\left\{\begin{array}{cc} \frac{\sin a x}{x}+3 & , \text { for }-2 \leq x<0 \\ 2 x+7 & , \text { for } 0 \leq x \leq 1 \\ \sqrt{x^2+8}-b & , \text { for } 1< x \leq 2 \end{array}\right.$$ $$\text { then the value of } 2 a+3 b \text { is }$$

4

MHT CET 2023 13th May Morning Shift

MCQ (Single Correct Answer)

+2

-0

The function $$\mathrm{f}(\mathrm{t})=\frac{1}{\mathrm{t}^2+\mathrm{t}-2}$$ where $$\mathrm{t}=\frac{1}{x-1}$$ is discontinuous at

Questions Asked from Limits, Continuity and Differentiability (MCQ (Single Correct Answer))

Number in Brackets after Paper Indicates No. of Questions

MHT CET 2023 14th May Morning Shift (1)
MHT CET 2023 13th May Evening Shift (2)
MHT CET 2023 13th May Morning Shift (2)
MHT CET 2023 12th May Evening Shift (2)
MHT CET 2023 12th May Morning Shift (2)
MHT CET 2023 11th May Evening Shift (2)
MHT CET 2023 11th May Morning Shift (3)
MHT CET 2023 10th May Evening Shift (3)
MHT CET 2023 10th May Morning Shift (2)
MHT CET 2023 9th May Evening Shift (2)
MHT CET 2023 9th May Morning Shift (1)
MHT CET 2021 21th September Evening Shift (2)
MHT CET 2021 21th September Morning Shift (2)
MHT CET 2021 20th September Evening Shift (2)
MHT CET 2021 20th September Morning Shift (2)

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 Nuclear Chemistry

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 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