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MHT CET 2026
List of top Questions asked in MHT CET- 2026
Four persons can hit a target correctly with probabilities $\frac{1}{2}, \frac{1}{3}, \frac{1}{4}$ and $\frac{1}{5}$ respectively. If all hit at the target independently, then the probability that the target would be hit, is:
MHT CET - 2026
MHT CET
Mathematics
Probability
Which of the following reagents is used to distinguish primary, secondary, and tertiary alcohols?
MHT CET - 2026
MHT CET
Chemistry
Alcohols, Phenols and Ethers
The parametric equations of the circle $x^2 + y^2 - 4x - 6y - 12 = 0$ are:
MHT CET - 2026
MHT CET
Mathematics
circle
If $A = \begin{bmatrix} \sin \alpha & -\cos \alpha \\ \cos \alpha & \sin \alpha \end{bmatrix}$ and $\alpha \in (\frac{\pi}{2}, \frac{3\pi}{2})$, if $A + A^T = I$, then $\alpha =$}
MHT CET - 2026
MHT CET
Mathematics
Transpose of a Matrix
If $n \in \mathbb{Z}$, then the expression $\frac{2^n}{(1-i)^{2n}} + \frac{(1+i)^{2n}}{2^n}$ is equal to:
MHT CET - 2026
MHT CET
Mathematics
Complex Numbers and Quadratic Equations
The value of $\int \frac{x^2 - 1}{(x^4 + 3x^2 + 1) \tan^{-1}(x + \frac{1}{x})} dx$ is:
MHT CET - 2026
MHT CET
Mathematics
integral
If $x = a \sin t - b \cos t$ and $y = a \cos t + b \sin t$, and it is given that $\frac{d^2y}{dx^2} = 0$, then:
MHT CET - 2026
MHT CET
Mathematics
Second Order Derivative
The value of $\int_{0}^{4} \sqrt{\frac{4-x}{4+x}} dx$ is:
MHT CET - 2026
MHT CET
Mathematics
Definite Integral
The range of the function $y = \log(\sin x)$ where $\sin x > 0$ is:
MHT CET - 2026
MHT CET
Mathematics
limits of trigonometric functions
To convert a galvanometer into a voltmeter, one must connect a:
MHT CET - 2026
MHT CET
Physics
Current electricity
A particle performs SHM with an amplitude of 5 cm. Find its acceleration when it is 3 cm from the mean position (assume \( \omega = 2 \, \text{rad/s} \)).
MHT CET - 2026
MHT CET
Physics
simple harmonic motion
In $\triangle ABC$, $(b-c)^2 \cos^2 \frac{A}{2} + (b+c)^2 \sin^2 \frac{A}{2} =$
MHT CET - 2026
MHT CET
Mathematics
Trigonometric Identities
If $\frac{dy}{dx} = y + 5$ and $y(0) = 4$, then $y(\log 2)$ is equal to
MHT CET - 2026
MHT CET
Mathematics
Differential equations
Evaluate the definite integral: \( \displaystyle \int_{3}^{5} |x-4|\,dx \).
MHT CET - 2026
MHT CET
Mathematics
Definite Integral
What is the number of unit particles present in a Body-Centered Cubic (BCC) unit cell?
MHT CET - 2026
MHT CET
Chemistry
The solid state
What is the frequency of a wave with a speed of \(30\,m/s\) if the distance between 11 consecutive crests is \(1\,m\)?
MHT CET - 2026
MHT CET
Physics
Wave characteristics
Calculate the energy stored in a \(10\,\mu F\) capacitor charged to \(50\,V\).
MHT CET - 2026
MHT CET
Physics
Capacitors and Capacitance
Find the value of \(k\) if the function \(f(x) = \dfrac{k\sin x}{x}\) is continuous at \(x = 0\) and \(f(0)=3\).
MHT CET - 2026
MHT CET
Mathematics
Continuity
Which of the following pairs contains only intensive properties?
MHT CET - 2026
MHT CET
Chemistry
Thermodynamics terms
The probability of a shooter hitting a target is \( \frac{3}{4} \). Find the probability of hitting the target exactly 4 times in 5 shots.
MHT CET - 2026
MHT CET
Mathematics
binomial distribution
Find the work done by a gas that expands from \(0.2\,\text{dm}^3\) to \(0.8\,\text{dm}^3\) against a constant pressure of \(2\) bar.
MHT CET - 2026
MHT CET
Chemistry
Work done in Thermodynamics
Which of the following microbial sources is used for the production of antibiotic terramycin?
MHT CET - 2026
MHT CET
Biology
Microbes in human welfare
Filarial disease (filariasis) is transmitted by which of the following mosquitoes?
MHT CET - 2026
MHT CET
Biology
Classification of animals
Determine the hybridization and geometry of carbon in ethyne \((C_2H_2)\).
MHT CET - 2026
MHT CET
Biology
Hybridisation
The process during double fertilization in which non motile male gametes are carried through hollow pollen tube is called
MHT CET - 2026
MHT CET
Biology
Hybridisation
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