List of top Questions asked in MHT CET

Two spheres are given that r = 10 cm and distance between them is 20 cm and axis is passing between the middle of the distance. What is the moment of inertia?

Find ${\int }_0^2(x^2+1)dx$ as the limit of a sum :

A thermodynamic system is taken through the cycle $ABCD$ as shown in the figure. Heat rejected by the gas during the cycle is:

If $\left[\begin{array}{cc}2x+y& 4x\\ 5x-7& 4x\end{array}\right]=\left[\begin{array}{cc}7& 7y-13\\ y& x+6\end{array}\right]$, then $x+y=$

If $\overrightarrow{\mathrm{a}}=\hat{\mathrm{i}}+2\hat{\mathrm{j}}-3\hat{\mathrm{k}}$, $\overrightarrow{\mathrm{b}}=3\hat{\mathrm{i}}-\hat{\mathrm{j}}+2\hat{\mathrm{k}}$ then the angle between $\overrightarrow{\mathrm{a}}+\overrightarrow{\mathrm{b}},\overrightarrow{\mathrm{a}}-\overrightarrow{\mathrm{b}}$ is:

A line passes through $(1,1)$ and is perpendicular to the line $3x+y=7$. Its $x$-intercept is:

The differential form of the equation $y^2+(x-b{)}^2=c$:

In this figure PQ ⊥ RS and RT ∥ PQ. if ∠PST = 68° then find reflexive ∠RTS.

Let the random variables $X$ follow $B(6,p)$ If $16P(X=4)=P(X=2)$, then what is the value of $p$:

The angle between the lines $x+y-3=0$ and $x-y+3=0$ is $\alpha$ and the acute angle between the lines $x-\sqrt{3}y+2\sqrt{3}=0$ and $\sqrt{3}x-y+1=0$ is $\beta$. Which one of the following is correct?

The value of $k$ which makes $f(x)=\{\begin{array}{l}\sin x,x\ne 0\\ k,x=0\end{array}$ continuous at $x=0$, is:

In the following trigonometry expression, find the value of (MN).$\frac{(1+\cos x)}{(1-\sin x)}(\sin x+\cos x-1{)}^2=M{\sin }^{N}x$

The solution of differential equation $dy=(4+y^2)dx$ is:

In a binomial distribution, the mean is $\frac{2}{3}$ and variance is $\frac{5}{9}$. What is the probability that random variable $D=2?$

What is ${\int }_0^a\frac{f(a-x)}{f(x)+f(a-x)}dx$ equal to?

What is the number of different messages that can be represented by three a’s and two b’s?

Let $\overrightarrow{a}=a_1\hat{i}+a_2\hat{j}+a_3\hat{k},\overrightarrow{b}=b_1\hat{i}+b_2\hat{j}+b_3\hat{k}$ be three non-zero vectors such that $\overrightarrow{c}$ is a vector perpendicular to both $\overrightarrow{a}$ and $\overrightarrow{b}$. If the angle between $\overrightarrow{a}$ and $\overrightarrow{b}$ is $\frac{\pi }{6}$ then $\left|\begin{array}{lll}{a}_1& b_1& c_1\\ a_2& b_2& c_2\\ a_3& b_3& c_3\end{array}\right|=?$

The process where a population inhibits the growth of other population without affecting itself is known as:

Digestion and absorption in the human body happens between ingestion and elimination. During digestion there are many enzymes which help to break down our food in the various organs of our digestive system. Which of the following enzymes is responsible for breaking down fats during digestion?

The release of a chemical messenger from synaptic vesicles is under the influence of _______ ion(s).

Doctors use stethoscope to hear the sounds produced during each cardiac cycle. The second sound is heard when :

Through which part does photosynthesis occur in xerophytes?

ELISA is:

What are plants adapted to grow in the sand called?

Which of the following groups of organisms does not belong to indicator species?