List of top Questions asked in JEE Main

If $ f(x) =\begin{cases}\frac{(72)^x - 9^x -8^x+1}{\sqrt2-\sqrt{1+cosx}} &; x ≠0\\a\,log2\,log3 &  ; x=0\end{cases} $ is continuous at x = 0. Then $a^2$ equals to
The width of the one slit in YDSE is four times the other slit. Then ratio of maximum to the minimum intensity at screen is
The circuit diagram shown is equivalent to
logic gates
If a, b, c are in A. P. and a + 1, b, c + 3 are in G. P., arithmetic mean of a, b, c is 8, then the value of cube of geometric mean of a, b, c is:
Statement 1 : In photoelectric effect, number of photoelectrons emitted are proportional to frequency of incident light.
Statement 2 : Maximum kinetic energy of photoelectrons is proportional to frequency of incident light.
Assertion (A) : The contact angle depends on material of solid and liquid.
Reason (R) : Height of the liquid in a capillary tube is independent of the radius of the tube.
Correct match for phasors of voltage and current for given elements is
a. Inductive phasors of voltage and current for given elements
b. Capacitive phasors of voltage and current for given elements
C. Resistive phasors of voltage and current for given elements
A 2 kg brick is placed on an inclined plane of inclination 45°. The brick is at rest. The minimum coefficient of static friction is:
One mole of an ideal monatomic gas compressed adiabatically from volume 2 V to V . If initially temperature of gas was T then the magnitude of work done in this process is
P, Q, R, S are 4 symmetric points on a horizontal circle of radius of 4 km. What is the displacement when a car moves from P to R along the given circular path.
A massless rod has a point mass attached to one end while the other end is hinged. The rod is released from the position shown. The speed of the mass at the bottom most point is $(R = 14 m, g = 10 m/s^2)$
If (z)2+|z|=0 and if α is sum of roots and β is product of non-zero roots, then find 4(α2+β2)
The coefficient of x7 in (1-x-x2+x3)6
\(f(x)=\frac{2x^2-3x+8}{2x^2+3x+8}\), Then sum of maximum and minimum values of f(x) is:
Find \(\int\limits^{\frac{\pi}{2}}_{-\frac{\pi}{2}} \frac{\sin^2x}{1+2^x} \;dx\)
Three urn A, B, C, A has 7 red and 5 black balls, B has 5 red and 7 black balls, C has 6 red and 6 black balls. One urn is selected and black ball is taken out. Find probability that the selected urn is A.
Find the number of rational numbers in the expansion of \((2^{\frac{1}{5}} + 5^{\frac{1}{3}})^{15}\).
If \(f(x) =   \begin{cases}  x-2       & \quad 0\leq x\leq2\\     -2  & \quad -2\leq x\leq0   \end{cases}\) and \(h(x) = f(|x|) + |f(x)|, \int\limits^{k}_{0} h(x) dx\) is equal to _____.(k>0)
Among the following, species that have one unpaired electron:
Which of the following will not give Lassaigne's test?
Given below are two statements :
Statement-1: Aldol condensation is caused by acidity of a hydrogens.
Statement-2: Cross aldol is not possible between Ph-CHO and CH3CHO
In the light of the above statements, choose the most appropriate answer from the options given below:
How many of the following compounds are sp3 hybridized
Clemmensen Reduction \(\xrightarrow[Conc.HCL]{Zn-Hg}\) Product?
Which of the following is the correct order of first ionization enthalpy?
Among the following, decreasing order of basic strength will be:
OH-, H-, HCOO-, CH3COO-, -OR
(I)     (II)    (III)         (IV)          (V)