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1
MHT CET 2026 17th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If $f(x) = \dfrac{1 - x}{1 + x}$, then $f(f(\cos x)) =$
A
$\cos x$
B
$x$
C
$\tan\dfrac{x}{2}$
D
$\cos\dfrac{x}{2}$
2
MHT CET 2026 17th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
If $f(x) = \dfrac{x+2}{x^2-3x+1}$, then the values of $x$ for which $f(x)$ is not defined are
A
$x = \dfrac{3+\sqrt{5}}{2},\ x = \dfrac{3-\sqrt{5}}{2}$
B
$x = \dfrac{-3+\sqrt{5}}{2},\ x = \dfrac{-3-\sqrt{5}}{2}$
C
$x = \dfrac{3+\sqrt{3}}{2},\ x = \dfrac{3-\sqrt{3}}{2}$
D
$x = \dfrac{2+\sqrt{5}}{2},\ x = \dfrac{2-\sqrt{5}}{2}$
3
MHT CET 2026 17th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
If $f : R \to R$ and $g : R \to R$ are defined as $f(x) = 2x - |x|$ and $g(x) = 2x + |x|$, then
A
$(fog)(2) + (gof)(2) = 0$
B
$(fog)(2) - (gof)(-2) = 0$
C
$(fog)(2) - (fog)(-2) = 0$
D
$(gof)(2) + (gof)(-2) = 0$
4
MHT CET 2026 16th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If $e^x + e^{f(x)} = e$, then the domain of $f(x)$ is
A
$(1, \infty)$
B
$(-\infty, 1)$
C
$(-\infty, \infty)$
D
$(-\infty, 0)$
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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
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IUPAC Nomenclatures General Organic Chemistry Isomerism Hydrocarbons Haloalkanes and Haloarenes Alcohol, Phenols and Ethers Aldehyde and Ketone Carboxylic Acids and Its Derivatives Compounds Containing Nitrogen Polymers Biomolecules Chemistry in Everyday Life Practical Organic Chemistry
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Electrostatics Current Electricity Capacitor Moving Charges and Magnetism Magnetism and Matter Electromagnetic Waves Electromagnetic Induction Alternating Current
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Atoms and Nuclei Dual Nature of Radiation Semiconductor Devices and Logic Gates Communication Systems
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