List of top Questions asked in JEE Main

Let \(C\) be the centre of the circle \(x^2+y^2-x+2 y=\frac{11}{4}\) and \(P\) be a point on the circle A line passes through the point \(C\), makes an angle of \(\frac{\pi}{4}\) with the line CP and intersects the circle at the points \(Q\) and \(R\) Then the area of the triangle \(PQR\) (in unit \({ }^2\)) is :

A circle x² + y² = 8 and a parabola y² = 2x are given. Find area bounded by these two curves in first quadrant which lie inside the circle and outside the parabola.

If $\frac{dy}{dx} +2y = sin 2x$ and $y(0) = \frac{3}4$ , then $y (\frac{π}{8})$ is equal to:

The area bounded by y = min{sin x, cos x} and x-axis in -π ≤ x ≤ π interval is equal to (in sq. units):

Let A = [1, 2, 3, 4, 5], m be the number of relations such as 4x ≤ 5y XRY and n be the minimum number of elements to be added from A × A to make a symmetric relation. Then the value of n + m.

A=\(\begin{bmatrix}   \alpha & \alpha & \alpha \\   \beta & \alpha & -\beta \\   -\alpha & \alpha & \alpha  \end{bmatrix}\)B is formed by co-factor of A matrix, then find out determinant of AB.

If \(\frac{1}{(1+d)(1+2d)}+\frac{1}{(1+2d)(1+3d)}+...+\frac{1}{(1+9d)(1+10d)}=1,\) then the value of 50d is____. (d > 0)

Equal volume of 1 M HCI and 1 M H2SO4 neutralized by dil. NaOH and heat released is x and y kcal respectively, then which is correct?

Assertion: Kjeldahl method is not used for pyridine.
Reason: Nitrogen of pyridine does not change to ammonium sulphate under these conditions.

Which of the following orbitals has the highest energy?

Which of the following complexes will exhibit maximum attraction to an applied magnetic field?

The molarity of NaCl solution is 3 M. Calculate the morality of the solution. (Given density of the solution = 1.25 g/mL)

Select the correct options:
Statement 1: Benzene sulphonyl chloride reacts with 1°, 2° and 3° amines.
Statement 2: All products of the reaction above are soluble in NaOH.

An electron and a proton has same de Broglie wavelength. If K_e and K_p are their respective kinetic energies, then

Angular momentum of an electron in an orbit of radius R of a hydrogen atom is directly proportional to

In a hydraulic lift force F is applied to balance 10 N load, diameter of effort arm is 14 cm and load arm is 1.4 cm. The F is equal to

An object is projected such that its horizontal range and maximum height are same, then angle of projection is

Three particles having different masses have the same momentum. Find the ratio of their kinetic energy. (m₁ = 400 gm,m₂ = 1.2 kg,m³ = 1.6 kg)

A screw gauge with a pitch of 1 mm and a circular scale with 100 divisions is used to measure the thickness of the aluminium sheet. Negative zero error of 0.05 mm is there. What is the thickness of the sheet when main scale reading is 4 mm and 60th division coincides with the main scale line

An ammeter consisting of 240 Ω galvanometer and 10 Ω shunt resistance is connected in circuit as shown. Reading of ammeter is

A physical quantity P depends on electric field (E) and permittivity of free space ( ε₀ ) as  P ∝ E ε₀², Find dimension of P

The dimension of latent heat is:

Number of ambidentate nucleophiles among the following is:
CN^-, SCN^- NO₂^-, CH₃COO^-, C₂0₄^2-, NH₂^-, SO₄^2-

Five identical convex lenses are placed one after the other in close contact. The power of this arrangement is 25 D. Then, the power of one such lens is

A cubical arrangement of 12 resistors each having resistance R is shown. Find I.