JEE Main questions
34495 published questions with worked solutions.
- If a right circular cone having maximum volume, is inscribed in a sphere of radius 3 cm, then the curved surface area (in cm²) of...
- If tan A and tan B are the roots of the quadratic equation, 3x^2 - 10x - 25 = 0 then the value of 3 ^2(A + B) - 10 (A + B) (A +...
- Two parabolas with a common vertex and with axes along x-axis and y-axis, respectively, intersect each other in the first...
- Let y = y(x) be the solution of the differential equation dy dx + 2y = f(x), where f(x) = cases 1, & x [0, 1] 0, & otherwise...
- The area (in sq. units) of the region x R : x 0, y 0, y x - 2 and y x , is
- If is one of the angles between the normals to the ellipse, x^2 + 3y^2 = 9 at the points (3 , 3 ) and (-3 , 3 ); (0, 2 ); then 2...
- If (p q) (p r) p q is false, then the truth values of p, q and r are respectivelyNot in JEE syllabus
- The set of all R , for which w = 1 + (1 - 8 )z 1 - z is a purely imaginary number, for all z C satisfying |z| = 1 and Re (z) 1, is
- If a , b and c are unit vectors such that a + 2 b + 2 c = 0 , then | a c | is equal to
- An aeroplane flying at a constant speed, parallel to the horizontal ground, 3 km above it, is observed at an elevation of 60°...
- Let S = ( , ) R R : f(t) = (| |e^ |t| - ) (2|t|), t R , is a differentiable function . Then S is a subset of
- n-digit numbers are formed using only three digits 2, 5 and 7. The smallest value of n for which 900 such distinct numbers can be...
- A box 'A' contains 2 white, 3 red and 2 black balls. Another box 'B' contains 4 white, 2 red and 3 black balls. If two balls are...
- A body of mass 2kg slides down with an acceleration of 3m/s² on a rough inclined plane having a slope of 30°. The external force...
- A plane polarized monochromatic EM wave is traveling a vacuum along z direction such that at t = t_1 it is found that the...
- A current of 1A is flowing on the sides of an equilateral triangle of side 4.5 10^ -2 m. The magnetic field at the center of the...
- A constant voltage is applied between two ends of metallic wire. If the length is halved and the radius of the wire is doubled,...
- The carrier frequency of a transmitter is provided by a tank circuit of a coil of inductance 49 µH and a capacitance of 2.5 nF....Not in JEE or NEET syllabus
- A proton of mass m collides elastically with a particle of unknown mass at rest. After the collision, the proton and the unknown...
- A disc rotates about its axis of symmetry in a horizontal plane at a steady rate of 3.5 revolutions per second. A coin placed at...