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1
MHT CET 2026 18th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
In $\triangle ABC$, if $\angle C = \dfrac{\pi}{3}$, then the value of $\cos^2 A + \cos^2 B + \cos A\cos B$ is...
A
$\dfrac{3}{4}$
B
$\dfrac{5}{4}$
C
$\dfrac{-3}{4}$
D
$\dfrac{-5}{4}$
2
MHT CET 2026 18th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
In triangle ABC, with usual notations, if $(a+b+c)(a+b-c) = ab$, then the measure of angle C is...
A
$\dfrac{\pi}{2}$
B
$\dfrac{2\pi}{3}$
C
$\dfrac{5\pi}{6}$
D
$\dfrac{3\pi}{4}$
3
MHT CET 2026 18th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
In $\triangle ABC$, with usual notation, if $a = 13, b = 14, c = 15$, then the sum of the values of $\sin\left(\dfrac{A}{2}\right)$ and $\sin A$ is....
A
$\dfrac{14}{5\sqrt{5}}$
B
$\dfrac{\sqrt{5}+4}{5}$
C
$\dfrac{5+\sqrt{5}}{5}$
D
$\dfrac{2}{\sqrt{5}}+\dfrac{1}{2}$
4
MHT CET 2026 17th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
In $\triangle ABC$, with usual notation, if cot A, cot B, cot C are in arithmetic progression, then
A
sin A, sin B, sin C are in arithmetic progression.
B
$a^2, b^2, c^2$ are in arithmetic progression.
C
cos A, cos B, cos C are in arithmetic progression.
D
a, b, c are in arithmetic progression.
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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
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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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Atoms and Nuclei Dual Nature of Radiation Semiconductor Devices and Logic Gates Communication Systems
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