List of top Questions asked in JEE Main, KCET

$(x^2 + 1)2dy + (y(2x^3 + x) – 2)dx = 0, y(0) = 0,$ then y(2) is equal to

Wavelengths assigned to gamma rays, infra-red rays, UV rays and microwaves are 1 , 2 , 3 & 4 respectively. Then :

With regard to gravitation parameters, the dimensions of $T^2$ are same as that of

Which of the following circuits would have the diode in conducting state?

A heater of rating of 50 W – 200 V is connected with source voltage of 100 V. Power consumed by heater is

Which of the following have a pyramidal shape ?

If $f(x)= 3\sqrt{(x-2)}+\sqrt{4-x }$ If minimum value = α Maximum value = β find $α2 + β2 $.

In group A there are 4 men and 5 women and in group B there are 5 men and 4 women, if 4 people are selected from each group. Find a number of ways to select 4 men and 4 women.

$(x^2 + 1)2dy + (y(2x^3 + x) – 2)dx = 0, y(0) = 0,$ then y(2) is equal to

Find area bounded by $y^2 ≤ 2x$ and $y ≥ 4x – 1$

For a hyperbola $\frac{x^2}{a^2} - \frac{y^2}{b^2}=1, C_1$ is a circle touching hyperbola having centre at origin and $C_2$ is circle centred at four and touching hyperbola at vertices, if area of $C_1= 36π$ and area of $C_2 = 4π$. Find $a_2 + b_2 $= ?

Team A plays 10 matches, probability of winning is $\frac1{3}$ and losing is $\frac2{3}$. They win x matches and lose y matches. Probability such that $|x – y| ≤ 2$ is P then find 3$^9P$.

A parabola $y^2 = 12x$ has a chord PQ with mid-point (4, 1) then equation of PQ passes through

The value of $\frac{1\times 2^2+2\times3^2+...+100\times (101)^2}{1^2 \times 2\times2^2 \times3+...+100^2 \times 101}$

if  $∫_{-1}^1 \frac{cos \, \alpha x}{1+3^x} dx = \frac2{\pi} $ then $\alpha$ is

IUPAC name of Catechol is-

Which of the following statement is INCORRECT

Find out number of unpaired electrons in d-subshell for $[Co(H_2O)_6]^{ 3+}. $

The correct order of ionisation enthalpy for Li, Na, Cl, F is:

Consider the following statements:
Statement I: The number of emitted photoelectrons Increases with increase in frequency of incident light.
Statement II: Kinetic energy of emitted photoelectrons increases with increase in frequency of incident light

If a, b, c are in increasing A.P. and a + 1, b, c + 3 are in G.P. If A.M. of a, b, c is 8. Find cube of G.M. of a, b, c.

Which of the following is used as adsorbent in adsorption chromatography?

Two point mass m and 2m are on straight line. If mass m moves toward centre of mass by distance 2 cm, then the distance must mass 2m should move so that centre of mass does not change ______ cm.

A body of mass 4 kg is at a height of R (radius of earth) from surface of earth. The weight of the body is ______ N.