List of top Questions asked in MHT CET- 2021

In $\Delta ABC$, with usual notations $\frac{b\sin B - c\sin C}{\sin(B-C)} =$

If $G(4,3,3)$ is the centroid of the triangle $ABC$ whose vertices are $A(a,3,1)$, $B(4,5,b)$ and $C(6,c,5)$, then the values of $a$, $b$, $c$ are

If the sum of slopes of lines represented by $ax^2+8xy+5y^2=0$ is twice their product, then $a =$

The degree of the differential equation whose solution is $y^2 = 8a(x+a)$, is

The d.r.s. of the normal to the plane passing through the origin and the line of intersection of the planes $x+2y+3z=4$ and $4x+3y+2z=1$ are

The numbers can be formed using the digits $1, 2, 3, 4, 3, 2, 1$ so that odd digits always occupy odd places in ways.

The area of triangle with vertices $(1,2,0)$, $(1,0,a)$ and $(0,3,1)$ is $\sqrt{6}$ sq. units, then the values of '$a$' are

If $A = \begin{bmatrix} 5a & -b \\ 3 & 2 \end{bmatrix}$ and $A \cdot \text{adj } A = A \cdot A^T$, then $5a + b =$

Following data shows the information about marks obtained in Physics, Chemistry, Mathematics and Biology by 100 students in a class. Then subject shows the highest variability in marks. Choose the correct subject from the options below:

If $y = \tan^{-1}\left(\sqrt{\frac{1+\cos x}{1-\cos x}}\right)$, then $\frac{dy}{dx} =$

Let $$f(x) = \begin{array}{cc} x + a\sqrt{2}\sin x & , 0 \le x \lt \frac{\pi}{4} \\ 2x\cot x + b & , \frac{\pi}{4} \le x \lt \frac{\pi}{2} \\ a\cos 2x - b\sin x & , \frac{\pi}{2} \le x \le \pi \end{array}$$ If $f(x)$ is continuous for $0 \le x \le \pi$, then

What is the difference between $\Delta H$ and $\Delta U$ for reaction given below at 298 K?
(R = 8.314 $\text{J}\ \text{K}^{-1}\ \text{mol}^{-1}$)
$2\text{C}_6\text{H}_{6(\ell)} + 15\text{O}_{2(g)} \rightarrow 12\text{CO}_{2(g)} + 6\text{H}_2\text{O}_{(\ell)}$

Identify the homoleptic complex from the following.

Identify the molecule having a non-zero dipole moment.

What is the energy of an electron in stationary state corresponding to n = 2?

Which among following functional groups exhibits $-\text{R}$ effect?

Which of the following alkenes on oxidation by $\text{KMnO}_4$ in dil. $\text{H}_2\text{SO}_4$ forms adipic acid?

Identify compound from following having highest basic strength.

Which among the following compounds has highest melting point?

Identify the polymer used in making floor tiles.

Which of the following formulae is used to obtain depression in freezing point?

Pure dihydrogen (99.5%) is obtained by the electrolysis of

For the reaction $\text{N}_{2(g)} + 3\text{H}_{2(g)} \rightarrow 2\text{NH}_{3(g)}$, what is the relation between $\frac{d[\text{N}_2]}{dt}$ and $\frac{d[\text{H}_2]}{dt}$?

How many tetrahedral voids are present in 0.4 mole of a compound that forms hcp structure?

What is enthalpy of formation of $\text{NH}_3$ if bond enthalpies are as $(\text{N}\equiv\text{N}) = 941\ \text{kJ}$, $(\text{H}-\text{H}) = 436\ \text{kJ}$, $(\text{N}-\text{H}) = 389\ \text{kJ}$?