JEE Main questions
34495 published questions with worked solutions.
- If x + y = 109 is the equation of the chord of the ellipse x^2 9 + y^2 4 =1, whose mid point is ( 5 2 , 1 2 ) then + is equal to
- If all the words with or without meaning made using all the letters of the word "KANPUR" are arranged as in a dictionary, then...
- Let , ( ) be the values of m, for which the equations x + y + z = 1; x + 2y + 4z = m and x + 4y + 10z = m^2 have infinitely many...
- Let A = [a_ ij ] be a matrix of order 3 × 3, with a_ ij = ( 2 )^ i+j . If the sum of all the elements in the third row of A^2 is...
- Let P be the foot of the perpendicular from the point (1, 2, 2) on the line L : x-1 1 = y+1 -1 = z-2 2 . Let the line r = (- i+...
- Let A = [a_ ij ] be a 2 × 2 matrix such that a_ ij 0, 1 for all i and j. Let the random variable X denote the possible values of...
- The remainder, when 7^ 103 is divided by 23, is equal to:
- Let f(x) = _0^x t(t^2-9t+20) ,dt, 1 x 5. If the range of f is [ , ], then 4( + ) equals :
- If for the solution curve y = f(x) of the differential equation dy dx +( x)y= 2+ x (1+2 x)^2 , x ( - 2 , 2 ), f ( 3 )= 3 10 ,...
- If 24 _0^ /4 ( | (4x- 12 ) |+[2 x] )dx = 2 + , where [.] denotes the greatest integer function, then is equal to _____.
- If _ t 0 ( _0^1(3x+5)^t ,dx )^ 1/t = 5e ( 8 5 )^ 2/3 , then is equal to _____.
- Let a_1, a_2, , a_ 2024 be an Arithmetic Progression such that a_1 + (a_5+a_ 10 +a_ 15 + +a_ 2020 )+a_ 2024 =2233. Then...
- Let integers a, b [–3, 3] be such that a + b 0. Then the number of all possible ordered pairs (a, b), for which | z-a z+b |=1 and...
- Let y^2=12x the parabola and S be its focus. Let PQ be a focal chord of the parabola such that (SP)(SQ)= 147 4 . Let C be the...
- In an experiment with photoelectric effect, the stopping potential.
- A point charge causes an electric flux of –2 × 10^4 Nm^2C^ -1 to pass through a spherical Gaussian surface of 8.0 cm radius,...
- A plane electromagnetic wave propagates along the + x direction in free space. The components of the electric field, E and...
- A sand dropper drops sand of mass m(t) on a conveyer belt at a rate proportional to the square root of speed (v) of the belt,...
- A convex lens mode of glass (refractive index = 1.5) has focal length 24 cm in air. When it is totally immersed in water...
- Match List-I with List-II. List-I: (A) Young's Modulus (B) Torque (C) Coefficient of Viscosity (D) Gravitational Constant...