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Q JEE MAIN 2024
The coefficients $a, b, c$ in the quadratic equation $a x^2+b x+c=0$ are chosen from the set $\{1,2,3,4,5,6,7,8\}$. The probability of this equation having repeated...
JEE Main Mathematics Medium
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Q JEE MAIN
A big drop is formed by coalescing 1000 small droplets of water. The ratio of surface energy of 1000 droplets to that of energy of...
JEE Main Physics Medium
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Q JEE MAIN 2024
Let $f(x)=4 \cos ^3 x+3 \sqrt{3} \cos ^2 x-10$. The number of points of local maxima of $f$ in interval $(0,2 \pi)$ is:
JEE Main Mathematics Medium
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Q JEE MAIN 2024
Let $f(x)$ be a positive function such that the area bounded by $y=f(x), y=0$ from $x=0$ to $x=a>0$ is $\mathrm{e}^{-\mathrm{a}}+4 \mathrm{a}^2+\mathrm{a}-1$. Then the differential equation,...
JEE Main Mathematics Medium
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Q JEE MAIN 2024
The integral $\int_0^{\frac{\pi}{4}} \frac{136 \sin x}{3 \sin x+5 \cos x} d x$ is equal to :
JEE Main Mathematics Easy
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Q JEE MAIN
Three infinitely long charged thin sheets are placed as shown in figure. The magnitude of electric field at the point P is $\frac{\mathrm{X} \sigma}{\epsilon_0}$. The...
JEE Main Physics Medium
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Q JEE-Main 2024
The mean and standard deviation of 20 observations are found to be 10 and 2, respectively. On respectively, it was found that an observation by...
JEE Main Mathematics Medium
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Q JEE MAINS 2024
If the wavelength of the first member of Lyman series of hydrogen is λ. The wavelength of the second member will be
JEE Main Physics Easy
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Q JEE MAIN
If the radius of earth is reduced to three-fourth of its present value without change in its mass then value of duration of the day...
JEE Main Physics Medium
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Q JEE MAIN 2024
The number of critical points of the function $f(x)=(x-2)^{2 / 3}(2 x+1)$ is:
JEE Main Mathematics Easy
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Q JEE-Main 2024
$\int_0^{\pi / 4} \frac{\cos ^2 x \sin ^2 x}{\left(\cos ^3 x+\sin ^3 x\right)^2} d x$ is equal to $\_\_\_\_$
JEE Main Mathematics Easy
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Q JEE MAIN 2024
If the function $f(x)=\frac{\sin 3 x+\alpha \sin x-\beta \cos 3 x}{x^3}, x \in R$, is continuous at $x=0$, then $f(0)$ is equal to :
JEE Main Mathematics Easy
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Q JEE MAIN
In photoelectric experiment energy of 2.48eV irradiates a photo sensitive material. The stopping potential was measured to be 0.5 V. Work function of the photo...
JEE Main Physics Medium
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Q JEE MAINS 2024
A rigid wire consists of a semicircular portion of radius R and two straight sections. The wire is partially immerged in a perpendicular magnetic field...
JEE Main Physics Easy
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Q JEE MAIN 2024
Let $\mathrm{P}(\mathrm{x}, \mathrm{y}, \mathrm{z})$ be a point in the first octant, whose projection in the xy -plane is the point Q . Let $\mathrm{OP}=\gamma$; the...
JEE Main Mathematics Medium
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Q JEE MAIN
A small ball of mass m and density $\rho$ is dropped in a viscous liquid of density $\rho_0$. After sometime, the ball falls with constant...
JEE Main Physics Medium
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Q JEE MAIN 2024
Let $A=\{1,3,7,9,11\}$ and $B=\{2,4,5,7,8,10,12\}$. Then the total number of one-one maps $f: A \rightarrow B$, such that $f(1)+f(3)=14$, is :
JEE Main Mathematics Easy
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Q JEE-Main 2024
If $\mathrm{A}(3,1,-1), \mathrm{B}\left(\frac{5}{3}, \frac{7}{3}, \frac{1}{3}\right), \mathrm{C}(2,2,1)$ and $\mathrm{D}\left(\frac{10}{3}, \frac{2}{3}, \frac{-1}{3}\right)$ are the vertices of a quadrilateral ABCD , then its area is $\_\_\_\_$ .
JEE Main Mathematics Easy
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Q JEE MAIN 2024
Let the circles $C_1:(x-\alpha)^2+(y-\beta)^2=r_1^2$ and $C_2:(x-8)^2+\left(y-\frac{15}{2}\right)^2=r_2^2$ touch each other externally at the point $(6,6)$. If the point $(6,6)$ divides the line segment joining the centres...
JEE Main Mathematics Medium
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Q JEE MAINS 2024
The refractive index of a prism with apex angle A is cot⁡A/2. The angle of minimum deviation is :
JEE Main Physics Easy
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Q JEE MAIN
An element $\Delta l=\Delta x \hat{i}$ is placed at the origin and carries a large current I=10 A. The magnetic field on the y-axis at...
JEE Main Physics Medium
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