List of top Questions asked in MHT CET

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:

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

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

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

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:

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 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?

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

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

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$

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

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?

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 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:

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

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

What is the value of ${\int }_4^9\frac{1}{\sqrt{x}}dx$ ?

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

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