List of top Questions asked in MHT CET

Find the area of the region (in square unit) bounded by the curve $y=x-2$ and $x=0$ to $x=4$.

Calculate the area under the curve $y=2\sqrt{x}$ and included between the lines $x=0,x=4$.

If, $y=9\sqrt{x+\sqrt{x+\sqrt{x+....\infty }}}$ find $\left(\frac{dy}{dx}\right)$ at a point where y = 3.

Evaluate ${\int }_0^{\frac{\pi }{2}}\frac{\cos x}{1+{\sin }^{2}x}dx$:

Find the equation of tangent of $y=x^2$ at $x=1$

If $A=\left[\begin{array}{ccc}1& -1& 0\\ 3& 2& -1\end{array}\right]$ and $B=\left[\begin{array}{l}1\\ 3\\ 5\end{array}\right]$, find $(AB{)}^T$.

Find the value $f^{\prime }(x)$, if $f(x)={\sin }^{-1}(1-x^2)$

Find the area between the curve $y=x^2$ and $y=x$.

The point of intersection of diagonals of a square ABCD is at the origin and one of its vertices is at A(4, 2). What is the equation of the diagonal BD?

If $A=\left[\begin{array}{cc}\cos 2\theta & -\sin 2\theta \\ \sin 2\theta & \cos 2\theta \end{array}\right]$ and $A+A^T=I$ Where $I$ is the unit matrix of $2\times 2$ and  $A^T$ is the transpose of $A$, then the value of $\theta$ is equal to:

A tank is filled with water of density $1\frac{g}{{cm}^3}$ and oil of density $0.9\frac{g}{{cm}^3}$. The height of water layer is $100cm$ and that of oil layer is 400 $cm$. If $g=980\frac{cm}{s^2}$, then the velocity of efflux from an opening in the bottom of the tank will be-

A $240V,60Hz$ voltage source is connected to resistor of $60\mathrm{\Omega }$. Find the value of net power consumed by resistance over a complete cycle.

Water is flowing through a horizontal pipe in stream line flow at the narrowest part of the pipe?

The height from earth's surface at which acceleration due to gravity becomes g/ where g is acceleration due to gravity on the surface of earth and R is radius of earth?

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?

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

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?

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

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:

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

Blood group agglutinogens $A$ and $B$ are found:

What is the percentage of children being a carrier of haemophilia if their mother is a carrier and their father is a normal man?

Where are stomata present in submerged hydrophytes?

Which of the following is a reason for the addition of spice oils to certain foods for the reason of preservation?

In which of the following places thalassemia is not common?