1

MHT CET 2023 10th May Evening Shift

MCQ (Single Correct Answer)

+2

-0

The domain of the function $$\mathrm{f}(x)=\sin ^{-1}\left(\frac{|x|+5}{x^2+1}\right)$$ is $$(-\infty,-a] \cup[a, \infty)$$. Then a is equal to

2

MHT CET 2023 10th May Evening Shift

MCQ (Single Correct Answer)

+2

-0

The value of $$\tan ^{-1}(1)+\cos ^{-1}\left(-\frac{1}{2}\right)+\sin ^{-1}\left(-\frac{1}{2}\right)$$ is

3

MHT CET 2023 10th May Evening Shift

MCQ (Single Correct Answer)

+2

-0

If $$\tan ^{-1} a+\tan ^{-1} b+\tan ^{-1} c=\pi$$, then which of the following statement is true?

4

MHT CET 2023 10th May Morning Shift

MCQ (Single Correct Answer)

+2

-0

Considering only the principal values of an inverse function, the set

$$\mathrm{A}=\left\{x \geq 0 / \tan ^{-1} x+\tan ^{-1} 6 x=\frac{\pi}{4}\right\}$$

Questions Asked from Inverse Trigonometric Functions (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 (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

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