List of top Mathematics Questions asked in MHT CET

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:

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

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

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

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

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).$\frac{(1+\cos x)}{(1-\sin x)}(\sin x+\cos x-1{)}^2=M{\sin }^{N}x$

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 $\left|\begin{array}{lll}{a}_1& b_1& c_1\\ a_2& b_2& c_2\\ a_3& b_3& c_3\end{array}\right|=?$

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?

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

Consider a Poisson distribution for the tossing of a biased coin. The mean for this distribution is $\mu$. The standard deviation for this distribution is given by ______.

Find the angle between two vectors $(\overrightarrow{a}=2\hat{i}+\hat{j}-3\hat{k})$ and $(\overrightarrow{b}=3\hat{i}-2\hat{j}-\hat{k})$.

Find the area bounded between the curve $\mathrm{y}={\mathrm{x}}^2$ and $\mathrm{y}={\mathrm{x}}^3$.

If $\overrightarrow{OA}=\overrightarrow{a}$ and $\overrightarrow{OB}=\overrightarrow{b}$, then $\overrightarrow{BA}$ is:

What is the sum of the measures of the angles ∠A, ∠B, ∠C, ∠D, ∠E, and ∠F in the given figure?

There are 20 cricket players, out of which 5 players can bowl. In how many ways can a team of 11 players be selected so, to include 4 bowlers?

Find the equation of the normal to the curve $y=3x^2+1$, which passes through $(2,13)$.

What is the area of the region bounded by the curve $f(x)=1-\frac{x^2}{4},x\in [-2,2]$ and the $x$-axis?