List of top Mathematics Questions asked in MHT CET

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 $\frac{z_1}{z_2}$, when $z_1=6+2i$ and $z_2=2-i$.

Maximam value of $:Z=10x+25$ y Subject to : $x\le 3,y\le 3,x+y\le 5,x\ge 0,y\ge 0$ at:

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

The differential equation of the family of curves $y=c_1{e}^x+c_2{e}^{-x}$ is:

What is the acute angle between the lines represented by the equations $y-\sqrt{3}x-5=0$ and $\sqrt{3}y-x+6=0?$

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.

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 ______.

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:

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

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

Consider the following.1. $z\overline{z}=|z{|}^2$2. $z^{-1}=\frac{z}{|z{|}^2}$, where $z=$ complex numberWhich of the above statement is/are correct?

The following table gives the weights of one hundred persons. Copute the coefficient of dispersion by the method of limits.Class-interval$40-45$$45-50$$50-55$$55-60$$60-65$$65-70$$70-75$$75-80$$80-85$$85-90$No. of persons$4$$13$$8$$14$$9$$16$$17$$9$$8$$2$

Maximize $Z=4x+9y$, subject to the constralnts $x=0$, y $=0,x+5y\le 200,2x+3y\le 134$.

Find the equation of the line passing through $(-3,5)$ and perpendicular to the line through the points $(2,5)(-3,6)$.

What is the equation of line passing through (0, 1) and making an angle with the y-axis equal to the inclination of the line x - y = 4 with x-axis?

The value of the term independent of $x$ in the expansion of ${(x^2-\frac{1}{x})}^9$ is:

Find the value of $y-x$ from the following equation:$2\left[\begin{array}{cc}x& 5\\ 7& y-3\end{array}\right]+\left[\begin{array}{cc}3& -4\\ 1& 2\end{array}\right]=\left[\begin{array}{cc}7& 6\\ 15& 14\end{array}\right]$

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

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?

The solution of the differential equation $\frac{dy}{dx}=\sec \left(\frac{y}{x}\right)+\frac{y}{x}$ is:

If $n=100!$, then what is the value of the following?$\frac{1}{{\log }_{2}n}+\frac{1}{{\log }_{3}n}+\frac{1}{{\log }_{4}n}+\dots \dots +\frac{1}{{\log }_{100}n}$

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 $x+y=$

Find the position vector of the midpoint of the vector joining the points $P(2,3,4)$ and $Q(4,1,-2)$.