List of top Mathematics Questions asked in MHT CET

Find the function $ f(x_1, x_2, x_3) $ satisfying $ f(x_1, x_2, x_3) = 1 $ at $ x_1 = 1, x_2 = x_3 = 0 $ .

Joint equation of pair of lines through $ (3, - 2) $ and parallel to $ x^2 - 4xy + 3y^2 = 0 $ is

For a certain function $ u_x $ , given that $ u_0 = 3, u_1 = 12, u_2 = 81, u_3 = 200, u_4 = 100, u_5 = 8 $ , then $ \Delta ^{5}u_{x} $ is equal to

$ \lim\limits _{x\to 1 } \left(log \,ex\right)^{1/log\,x} $ is equal

The maximum value of $ z = 9x + 13y $ subject to $ 2x + 3y \le 18, 2x + y \le 10, x \ge 0, y \ge 0 $ is

Given $ P(A \cup B ) = 0.6,P(A\cap B) = 0.2 $ , the probability of exactly one of the event occurs is

From a group of $ 8 $ boys and $ 3 $ girls, a commitee of $ 5 $ members to be formed. Find the probability that $ 2 $ particular girls are included in the committe is

A wire of length 20 units is divided into two parts such that the product of one part and the cube of the other part is maximum. The product of these parts is:

Find the centre and radius of $x^2+y^2+6y=0$.

Form the differential equation of $y=a{e}^{3x}\cos (x+b)$ Where $y^{\prime }=\frac{dy}{dx}$ and $y^n=\frac{d^{2}y}{d{x}^2}$?

The integral of \( \sec^{2/3}x \csc^{4/3}x \, dx \) from \( \pi/6 \) to \( \pi/3 \) is equal to:

If \( y = 5\cos x - 3\sin x \), then \( \frac{d^2y}{dx^2} + y \) equals:

The value of \( \sin(\cot^{-1}(x)) \) is:

It is known from past experience that in a certain plant there are on the average $4$ industrial accidents per month. Find the probability that there will be less than $4$ accidents in a given month. Given: $({\mathrm{e}}^{-4}=0.0183)$

Value of $\cos (-{1230}^{\circ })\times \cot (-{315}^{\circ })$ is:

If $f(x)$ and $g(x)$ are two probability density functions,$f(x)=\{\begin{array}{cc}\frac{x}{a}+1& :-a\le x<0\\ -\frac{x}{a}+1& 0\le x\le a\\ 0& \text{ otherwise }\end{array}$$g(x)=\{\begin{array}{cc}-\frac{x}{a}& :-a\le x\le 0\\ \frac{x}{a}& :0\le x\le a\\ 0& :\text{ otherewise }\end{array}$Which one of the following statements is true?

Find the value of $m$ for which the line $\overrightarrow{r}=(\hat{i}+2\hat{k})+\lambda (2\hat{i}-m\hat{j}-3\hat{k})$ is parallel to the plane $\overrightarrow{r}\cdot (m\hat{i}+3\hat{j}+\hat{k})=4$ ?

The value of $\frac{d}{dx}{x}^{2x}=$

There are $7$ Men and $6$ Women. In how many ways can we select $5$ members in which at least $3$ men should be there:

Direction: Below given a question and three statements numbered I, II and III. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the statements and give answer:A metal block of density ‘D’ and mass ‘M’, in the form of a cuboid, is beaten into a thin square sheet of thickness ‘t’, and rolled to form a cylinder of the same thickness. Find the inner radius of the cylinder –Statement I: Cuboid has dimensions 10cm x 5 cm x 12 cmStatement II: Thickness ‘t’ = 1.5cm Statement III: Mass of block, M = 216kg

If $\sin (\alpha +\beta )=6\sin (\alpha -\beta )$ and $k=\frac{\tan \alpha }{\tan \beta }$, then, what is the value of $k$ ?

Suppose $\sin 2\theta =\cos 3\theta$, here $0<\theta <\frac{\pi }{2}$ then what is the value of $\cos 2\theta ?$

$\overrightarrow{A}\times \overrightarrow{B}=\frac{1}{2}AB,$ what is the angle between $A$ and $B?$

Order of $\left[\begin{array}{lll}2& 7& 4\\ 3& 1& 0\end{array}\right]\left[\begin{array}{l}5\\ 4\\ 3\end{array}\right]$ is:

The area of the region bounded by the curve $y=x^2$ and the line $y=16$ is: