List of top Questions asked in MHT CET

The particular solution of the differential equation $xdy + 2ydx = 0$, when $x = 2, y = 1$ is

Which of the following compounds will give positive iodoform test ?

Which halogen has the highest value of negative electron gain enthalpy ?

The yellow colour of urine is due to the presence of

In Fraunhofer diffraction pattern, slit width is $0.2\, mm$ and screen is at $2 \,m$ away from the lens. If wavelength of light used is $5000 \, \mathring A $ then the distance between the first minimum on either side of the central maximum is ($\theta$ is small and measured in radian)

Formation of urea takes place in the _______.

Atrial systole lasts for _______ in Cardiac Cycle

$\int \frac{1}{\sqrt{8+2x-x^{2}}} dx$ is equal to

The approximate value of $f\left(x\right)= x^{3}+5x^{2}-7x +9$ at $x=1.1 $ is

For what value of $k$, the function defined by $ f(x) = \begin{cases} \frac{log(1+2x)sin\,x^\circ}{x^2} & \text{for } x \ge \text {0}\\ k & \text{for } x = \text{ 0} \end{cases}$ is continuous at $x = 0$ ?

If $ 2 \,tan^{-1} (cos\,x) = tan^{-1} (2 \,cosec\,x)$ then $sin\,x + cos\,x $ is equal to

If $A$ and $B$ are foot of perpendicular drawn from point $Q (a, b, c)$ to the planes $yz$ and $zx$, then equation of plane through the points $A, B$ and $O$ is ___________

If $A=\begin{bmatrix}1&1&0\\ 2&1&5\\ 1&2&1\end{bmatrix}$, then $a_{11}A_{21} +a_{12}A_{22}+a_{13}A_{23} $ is equal to

If Rolle�s theorem for $f\left(x\right)= e^{x} \left(sinx - cosx\right)$ is verified on $[\pi/4$, $5 \pi/4]$, then the value of $c$ is

Derivative of $log \left(sec\,\theta +tan \,\theta\right) $ with respect to $sec\, \theta$ at $\theta = \pi/4$ is

The joint equation of lines passing through the origin and trisecting the first quadrant is ________

For a gas $\frac{R}{C_{v}} = 0.4$, where ?$R$? is the universal gas constant and ?$C_v$? is molar specific heat at constant volume. The gas is made up of molecules which are

Two wires having same length and material are stretched by same force. Their diameters are in the ratio $1 : 3$. The ratio of strain energy per unit volume for these two wires (smaller to larger diameter) when stretched is

In vertical circular motion, the ratio of kinetic energy of a particle at highest point to that at lowest point is

A ring and a disc roll on the horizontal surface without slipping with same linear velocity. If both have same mass and total kinetic energy of the ring is $4\, J$ then total kinetic energy of the disc is

Direction cosines of the line $\frac{x+2}{2} = \frac{2y-5}{3}, z = -1$ is

A simple pendulum of length $l$ has maximum angular displacement $\theta$. The maximum kinetic energy of the bob of mass $m$ is ($g =$ acceleration due to gravity)

When the observer moves towards the stationary source with velocity, $V_1$, the apparent frequency of emitted note is $F_1$. When the observer moves away from the source with velocity $V_1$, the apparent frequency is $F_2$. If $V$ is the velocity of sound in air and $\frac{F_{1}}{F_{2}} = 2$ then $\frac{V}{V_{1}}=$ ?

A mass $m_1$ connected to a horizontal spring performs $S.H.M.$ with amplitude $A$. While mass $m_1$ is passing through mean position another mass $m_2$ is placed on it so that both the masses move together with amplitude $A_1$. The ratio of $\frac{A_{1}}{A}$ is $\left(m_{2} < m_{1}\right)$

In an oscillator, for sustained oscillations, Barkhausen criterion is $A\beta$ equal to ($A =$ voltage gain without feedback, $\beta =$ feedback factor)