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QJEE-Main 2024
The shortest distance between the lines $\frac{x-3}{2}=\frac{y+15}{-7}=\frac{z-9}{5}$ and $\frac{x+1}{2}=\frac{y-1}{1}=\frac{z-9}{-3}$ is $\_\_\_\_$
JEE MainMathematicsEasy
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QJEE MAINS 2024
Two charges $q$ and $3 q$ are separated by a distance ' $r$ ' in air. At a distance $x$ from charge $q$, the resultant...
JEE MainPhysicsEasy
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QJEE MAIN
For three vectors $\vec{A}=(-x \hat{\imath}-6 \hat{\jmath}-2 \hat{k}), \vec{B}=(-\hat{\imath}+4 \hat{\jmath}+3 \hat{k})$ and $\vec{C}=(-8 \hat{\imath}-\hat{\jmath}+3 \hat{k})$, if $\overrightarrow{\mathrm{A}} \cdot(\overrightarrow{\mathrm{B}} \times \overrightarrow{\mathrm{C}})=0$, them value of x is
JEE MainPhysicsMedium
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QJEE MAIN 2024
Let $I(x)=\int \frac{6}{\sin ^2 x(1-\cot x)^2} d x$. If $I(0)=3$, then $I\left(\frac{\pi}{12}\right)$ is equal to :
JEE MainMathematicsEasy
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QJEE MAIN
A particle is doing simple harmonic motion of amplitude 0.06 m and time period 3.14 s. The maximum velocity of the particle is cm/s.
JEE MainPhysicsMedium
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QJEE MAIN 2024
Let a,b∈R. Let the mean and the variance of 6 observations -3,4,7,-6,a,b be 2 and 23 , respectively. The mean deviation about the mean of...
JEE MainMathematicsMedium
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QJEE MAINS 2024
A force is represented by $F=a x^2+b t^{1 / 2}$ Where $\mathrm{x}=$ distance and $\mathrm{t}=$ time. The dimensions of $\mathrm{b}^2 / \mathrm{a}$ are i
JEE MainPhysicsMedium
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QJEE MAIN
A circular coil having 200 turns, $2.5 \times 10^{-4} \mathrm{~m}^2$ area and carrying 100$\mu \mathrm{A}$ current is placed in a uniform magnetic field of 1"...
JEE MainPhysicsHard
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QJEE-Main 2024
For α,β∈R and a natural number n, let
JEE MainMathematicsEasy
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QJEE MAIN 2024
Let the line 2x+3y-k=0,k>0, intersect the x-axis and y-axis at the points A and B, respectively. If the equation of the circle having the line...
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