List of top Questions asked in JEE Main

If \(a=sin^{-1}(sin\ 5)\) and \(b=cos^{-1}(cos\ 5)\), then \(a^2+b^2=\)

\(z_1^3+z_2^3=20+15i\) then \(|z_1^4+z_2^4|\) is equal to

Select the option of the correct property Paramagnetic & Diamagnetic \([Ni(CO_4)],[Ni(Cl_4)]^{-2}\)

Which of the following is least iconic

Let \(f:→R→(0,∞)\) be increasing function such that \(Lt_{x→∞}\frac {f(7x)}{f(x)}=1\), then \(Lt_{x→∞}[\frac {f(5x)}{f(x)}-1]\) is equal to

In the system shown below, the pulley \(4\) string are ideal. If the acceleration of blocks is \(\frac{g}{8}\) , find \(\frac{m_1}{m_2}\)

Draw truth table of given gate circuit.

Radius of curvature of equiconvex lens is 20 cm. Material of lens is having refractive index of 1.5. Find image distance from lens if an object is placed 10 cm away from the lens.

In a photoelectric experiment, frequency \(f = 1\).\(5f_0\) (\(f_o\): threshold frequency). If the frequency of light is changed to \(\frac{f}{2}\), then photocurrent becomes (intensity of light has doubled)

Find average power in electric circuit if source voltage \((V) = 20\;sin(100\;⍵t)\) and current in the circuit \((I) = 2\;sin\;\bigg(100⍵t + \frac{\pi}{3}\bigg)\)

Two solid spheres each of mass 2 kg and radius 75 cm are arranged as shown. Find MOI of the system about the given axis.

If \(E = \frac{(A-x^2)}{Bt}\) where \(E\) is energy, \(x\) is displacement and \(t\) is time. Find dimensions of \(AB\)

Force on a particle moving in a straight line is given by \( F = 6t^2\hat i - 3t\hat j\) and velocity is \(v = 3t^2\hat i + 6t\hat j\) . Find power at \(t = 2\).

Unpolarised light incident on transparent glass at incident angle 60°. If reflected ray is completely polarized, then angle of refraction is

For the block shown, \(F_1\) is the minimum force required to move block upward and \(F_2\) is the minimum force required to prevent it from slipping find \(| F_1 - F_2|\)

Mass of the moon is \(\frac{1}{100}\) times the mass of a planet. Its diameter is \(\frac{1}{16}\) the diameter of the planet if the escape velocity of the planet is \(V\) then the escape velocity of the moon will be

If the current through an incandescent lamp decreases by 20%, how much change will be there in its illumination?

The speed of sound in oxygen in STP will be approximately? Given that \(R=8.3 \) and \(y=1.4\)

The remainder when \(64^{{32}^{32}}\) is divided by 9 is.

If \(\frac {3cos\ 2x+cos^32x}{cos^6x-sin^6x}=x^3-x^2+6\), then find sum of roots.

If \(f(x) =ln(\frac {1-x^2}{1+x^2})\) then value of \(225(f'(x) – f''(x))\) at \(x=\frac 12\)

The number of ways to distribute 8 identical books into 4 distinct bookshelf is (where any bookshelf can be empty)

The mean of 5 observations is \(\frac {24}{5}\) and variance is \(\frac {194}{25}\) . If the mean of first four observations is \(\frac 72\) , then the variance of first four observations is

If first term of non-constant GP be \(\frac 18\) and every term is AM of next two, then \( \displaystyle\sum_{r=1}^{20} T_r- \displaystyle\sum_{r=1}^{18} T_r\) is

\((α, β)\) lie on the parabola \(y^2 = 4x\) and \((α, β)\) also lie on chord with midpoint \((1,\frac 54)\) of another parabola \(x^2 = 8y\), then value of \(|(8 – β)(α – 28)|\) is