JEE Main questions
34495 published questions with worked solutions.
- Consider the set of all lines px + qy + r = 0 such that 3p + 2q + 4r = 0. Which one of the following statements is true?
- Two cards are drawn successively with replacement from a well-shuffled deck of 52 cards. Let X denote the random variable of...
- The equation of the line passing through (−4, 3, 1), parallel to the plane x + 2y − z − 5 = 0 and intersecting the line x+1 -3 =...
- The plane through the intersection of the planes x + y + z = 1 and 2x + 3y − z + 4 = 0 and parallel to y-axis also passes through...
- If θ denotes the acute angle between the curves, y = 10 - x^2 and y = 2 + x^2 at a point of their intersection, then |tan θ| is...
- The value of _0^ | x|^3 ,dx is:
- The area (in sq. units) bounded by the parabola y = x^2 - 1, the tangent at the point (2, 3) to it and the y-axis is:
- If y = y(x) is the solution of the differential equation, x dy dx + 2y = x^2 satisfying y(1) = 1, then y ( 12 ) is equal to:
- Let 0 < < 2. If the eccentricity of the hyperbola x^2 ^2 - y^2 ^2 = 1 is greater than 2, then the length of its latus rectum lies...
- A shell is fired from a fixed artillery gun with an initial speed u such that it hits the target on the ground at a distance R...
- A thin ring of 10 cm radius carries a uniformly distributed charge. The ring rotates at a constant angular speed of 40π rad s^ -1...
- In a double slit experiment, when a thin film of thickness t having refractive index μ is introduced in front of one of the...
- The value of numerical aperture of the objective lens of a microscope is 1.25. If light of wavelength 5000 Å is used, the minimum...
- The trajectory of a projectile near the surface of the earth is given as y = 2x - 9x^2. If it were launched at an angle _0 with...
- A person of mass M is sitting on a swing of length L and swinging with an angular amplitude _0. If the person stands up when the...
- A point dipole p = -p_0 x is kept at the origin. The potential and electric field due to this dipole on the y-axis at a distance...
- An electromagnetic wave is represented by the electric field E = E_0 n [ t + (6y - 8z)]. Taking unit vectors in x, y and z...
- Two moles of helium gas is mixed with three moles of hydrogen molecules (taken to be rigid). What is the molar specific heat of...
- A magnetic compass needle oscillates 30 times per minute at a place where the dip is 45°, and 40 times per minute where the dip...Not in JEE Advanced syllabus
- Which of the following combinations has the dimension of electrical resistance ( _0 is the permittivity of vacuum and _0 is the...