List of top Questions asked in JEE Main- 2026

Let a circle of radius $4$ pass through the origin $O$, the points $A(-\sqrt{3}a,0)$ and $B(0,-\sqrt{2}b)$, where $a$ and $b$ are real parameters and $ab\neq0$. Then the locus of the centroid of $\triangle OAB$ is a circle of radius

The number of elements in the relation \[ R=\{(x,y): 4x^2+y^2<52,\; x,y\in\mathbb{Z}\} \] is

Let \[ f(x)=\int \frac{dx}{2\left(\frac{3}{2}\right)^x+2x\left(\frac12\right)^x} \] such that $f(0)=-26+24\log_e(2)$. If $f(1)=a+b\log_e(3)$, where $a,b\in\mathbb{Z}$, then $a+b$ is equal to:

Let
\[ A=\begin{pmatrix} 3 & -4 \\ 1 & -1 \end{pmatrix} \] and $ B $ be two matrices such that
\[ A^{100}-100B+I=0. \]
Then the sum of all the elements of $ B^{100} $ is _______.

Which one of the following graphs accurately represents the plot of partial pressure of CS₂ vs its mole fraction in a mixture of acetone and CS₂ at constant temperature?

From the given following (A to D) cyclic structures, those which will not react with Tollen's reagent are :

Let \[ A = \{x : |x^2 - 10| \le 6\} \quad \text{and} \quad B = \{x : |x - 2| > 1\}. \] Then

The wave numbers of three spectral lines of hydrogen atom are considered. Identify the set of spectral lines belonging to the {Balmer series. ($R$ = Rydberg constant)}

$6 \int_{0}^{\pi} (\sin 3x + \sin 2x + \sin x)dx$ is equal to:

$0.53\ \text{g}$ of an organic compound $X$ when heated with excess concentrated nitric acid and then with silver nitrate gave $0.75\ \text{g}$ of silver bromide precipitate. $1.0\ \text{g}$ of $X$ gave $1.32\ \text{g}$ of $\mathrm{CO_2}$ on combustion. Find the percentage of hydrogen in compound $X$. (Nearest integer) [Given: Atomic masses (g mol$^{-1}$): H = 1, C = 12, Br = 80, Ag = 108, O = 16]

Let \[ f(x)=x^{2025}-x^{2000},\quad x\in[0,1] \] and the minimum value of the function $f(x)$ in the interval $[0,1]$ be \[ (80)^{80}(n)^{-81}. \] Then $n$ is equal to

Two blocks with masses 100 g and 200 g are attached to the ends of springs A and B as shown in figure. The energy stored in A is E. The energy stored in B, when spring constants $k_A, k_B$ of A and B, respectively satisfy the relation $4k_A = 3k_B$, is :

A conducting circular loop of area 1.0 m$^2$ is placed perpendicular to a magnetic field which varies as B = sin(100t) Tesla. If the resistance of the loop is 100 $\Omega$, then the average thermal energy dissipated in the loop in one period is_________ J.

Let the arithmetic mean of $\frac{1}{a}$ and $\frac{1}{b}$ be $\frac{5}{16}$, where $a>2$. If $a,4,b$ are in A.P., then the equation \[ ax^2-ax+2(a-2b)=0 \] has:

The sum of all the roots of the equation $(x-1)^2 - 5|x-1| + 6 = 0$, is:

The value of \[ \sum_{k=1}^{\infty} (-1)^{k+1}\left(\frac{k(k+1)}{k!}\right) \] is:

The mean and variance of 10 observations are 9 and 34.2, respectively. If 8 of these observations are $ 2, 3, 5, 10, 11, 13, 15, 21 $, then the mean deviation about the median of all the 10 observations is:

Let $a_1, a_2, a_3, \dots$ be a G.P. of increasing positive terms such that $a_2 \cdot a_3 \cdot a_4=64$ and $a_1 + a_3 + a_5 = \frac{813}{7}$. Then $a_3 + a_5 + a_7$ is equal to:

A capacitor $P$ with capacitance $10\times10^{-6}\,\text{F}$ is fully charged with a potential difference of $6.0\,\text{V}$ and disconnected from the battery. The charged capacitor $P$ is connected across another capacitor $Q$ with capacitance $20\times10^{-6}\,\text{F}$. The charge on capacitor $Q$ when equilibrium is established will be $ \alpha \times 10^{-5}\,\text{C} $ (assume capacitor $Q$ does not have any charge initially). The value of $ \alpha $ is __________.

The following diagram shows a Zener diode as a voltage regulator. The Zener diode is rated at $V_z = 5$ V and the desired current in load is 5 mA. The unregulated voltage source can supply up to 25 V. Considering the Zener diode can withstand four times of the load current, the value of resistor $R_s$ (shown in circuit) should be_______ $\Omega$.

200 cc of $x \times 10^{-3}$ M potassium dichromate is required to oxidise 750 cc of 0.6 M Mohr's salt solution in acidic medium. Here x = ______ .

Given below are two statements:
Statement I: Sucrose is dextrorotatory. However, sucrose upon hydrolysis gives a solution having mixture of products. This solution shows laevorotation.
Statement II: Hydrolysis of sucrose gives glucose and fructose. Since the laevorotation of glucose is more than the dextrorotation of fructose, the resulting solution becomes laevorotatory.
In the light of the above statements, choose the correct answer from the options given below.

Let the length of the latus rectum of an ellipse $\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1$ $(a>b)$ be $30$. If its eccentricity is the maximum value of the function $f(t)=-\dfrac{3}{4}+2t-t^2$, then $(a^2+b^2)$ is equal to

Among the following, the CORRECT combinations are
A. $ \mathrm{IF_3} \rightarrow $ T-shaped ($ sp^3d $)
B. $ \mathrm{IF_5} \rightarrow $ Square pyramidal ($ sp^3d^2 $)
C. $ \mathrm{IF_7} \rightarrow $ Pentagonal bipyramidal ($ sp^3d^3 $)
D. $ \mathrm{ClO_4^-} \rightarrow $ Square planar ($ sp^2d $)
Choose the correct answer from the options given below:

In the reaction, \[ 2\text{Al}(s) + 6\text{HCl}(aq) \rightarrow 2\text{Al}^{3+}(aq) + 6\text{Cl}^-(aq) + 3\text{H}_2(g) \]