List of top Questions asked in MHT CET

$\int^1_0 x \, \tan^{-1} x\,dx = $
The maximum value of $f(x) = \frac{\log \, x }{x} (x \neq 0 , x \neq 1)$ is
The number of principal solutions of $\tan 2 \theta = 1$ is
The decomposers in an ecosystem are ______
A metal rod of length ????and cross-sectional area ????is heated through $???? \, {^{\circ}C}$. What is the force required to prevent the expansion of the rod lengthwise ? [Y = Young's modulus of the material of rod , $\alpha$ = coefficient of linear expansion]
A lift of mass $m$ is connected to a rope which is moving upward with maximum acceleration $a$. For maximum safe stress, the elastic limit of the rope, is $T$. The minimum diameter of the rope is (g = gravitational acceleration)
The pH of nutrient medium in plant tissue culture is adjusted between _____
The monomers used in preparation of dextron are
A molecule of Stachyose contains how many carbon atoms ?
Which of following coordinate complexes is an exception to $EAN$ rule ? (Given At. No. Pt = 78, Fe = 26, Zn = 30, Cu = 29)
Which of the following statements is INCORRECT for pair of elements $Zr - Hf$ ?
Which of the following statements is INCORRECT in case of Hofmann bromamide degradation ?
What is the chief constituent of Pyrex glass ?
What is the quantity of hydrogen gas liberated when $46 \,g$ sodium reacts with excess ethanol ? (Given At. mass of Na = 23)
A particle performs linear $S.H.M.$ At a particular instant, velocity of the particle is $u$ and acceleration is $\alpha$ while at another instant velocity is $v$ and acceleration is $ \beta (0 < \alpha < \beta )$. The distance between the two positions is
If $z_1$ and $z_2$ are z co-ordinates of the points of trisection of the segment joining the points $A(2, 1, 4), B _1 + z_2 =$
If the function \[ f(x) = \begin{cases} [ tan (\frac {\pi}{4}+x)]^{1/x} & \quad for\, x \neq 0\\ K \,\,\,\,\,\,\,\,\,\text{if } x =0 \end{cases} \] is continuous at $x = 0$, then $K = ?$
The area of the region bounded by the lines $y = 2x + 1, y = 3x + 1$ and $x = 4$ is
Two spherical black bodies have radii $?r_1?$ and $'r_2'$ . Their surface temperatures are $'T_1'$ and $'T_2'$. If they radiate same power then $\frac{r_2}{r_1}$ is
A disc of moment of inertia $'I_1'$ is rotating in horizontal plane about an axis passing through a centre and perpendicular to its plane w ith constant angular speed $?\omega_1'$. Another disc of moment of inertia $?I_2? $ having zero angular speed is placed coaxially on a rotating disc. Now both the. discs are rotating with constant angular speed $?\Omega_2 ?$. The energy lost by the initial rotating disc is
A solid sphere of mass 2 kg is rolling on a frictionless horizontal surface with velocity 6 m/s. It collides on the free end of an ideal spring whose other end is fixed. The maximum compression produced in the spring will be (Force constant of the spring = 36 N/m).
The point on the curve $y = \sqrt{x - 1}$ where the tangent is perpendicular to the line $2x + y - 5 = 0 $ is
If $c$ denotes the contradiction then dual of the compound statement $\sim p \wedge ( q \vee c)$ is
The objective function $z = 4x_1 + 5x_2$, subject to $2x_1 + x_2 \geq 7 , 2x_1 + 3x_2 \leq 15 , x_2 \leq 3, x_1 , x_2 \geq 0 $ has minimum value at the point
The genetic material of M bacteriophage is _______