JEE Main questions
34495 published questions with worked solutions.
- If 3x+4y=12 2 is a tangent to the ellipse x^2 a^2 + y^2 9 =1 for some a R, then the distance between the foci of the ellipse is:
- Let A=[a_ ij ] and B=[b_ ij ] be two 3 3 real matrices such that b_ ij =(3)^ (i+j-2) a_ ji , where i, j = 1, 2, 3. If the...
- The locus of the mid-points of the perpendiculars drawn from points on the line, x = 2y to the line x = y is:
- Let the tangents drawn from the origin to the circle, x^2+y^2-8x-4y+16=0 touch it at the points A and B. The (AB)^2 is equal to:
- The value of c in the Lagrange's mean value theorem for the function f(x)=x^3-4x^2+8x+11, when x [0,1] is:
- Let A, B, C and D be four non-empty sets. The contrapositive statement of "If A B and B D, then A C" is:Not in JEE syllabus
- If 3+i 4-i , [0,2 ], is a real number, then an argument of +i is:
- In a workshop, there are five machines and the probability of any one of them to be out of service on a day is 1 4 . If the...
- Let X= n N: 1 n 50 . If A= n X: n is a multiple of 2 and B= n X: n is a multiple of 7 , then the number of elements in the...
- If the mean and variance of eight numbers 3, 7, 9, 12, 13, 20, x and y be 10 and 25 respectively, then x.y is equal to_________.
- If the function f defined on (- 1 3 , 1 3 ) by f(x)= cases 1 x _e ( 1+3x 1-2x ), & when x 0 k, & when x=0 cases is continuous,...
- If the system of linear equations, x+y+z=6 x+2y+3z=10 3x+2y+ z= has more than two solutions, then - ^2 is equal to_________.
- If the foot of the perpendicular drawn from the point (1, 0, 3) on a line passing through ( , 7, 1) is ( 5 3 , 7 3 , 17 3 ), then...
- For the four sets of three measured physical quantities as given below. Which of the following options is correct ? (i) A_1 =...
- A spring mass system (mass m, spring constant k and natural length ) rests in equilibrium on a horizontal disc. The free end of...
- A particle starts from the origin at t = 0 with an initial velocity of 3.0 i m/s and moves in the x-y plane with a constant...
- Two gases-argon (atomic radius 0.07 nm, atomic weight 40) and xenon (atomic radius 0.1 nm, atomic weight 140) have the same...
- An electron of mass m and magnitude of charge |e| initially at rest gets accelerated by a constant electric field E. The rate of...
- A wire of length L and mass per unit length 6.0 10^ -3 kg m ^ -1 is put under tension of 540 N. Two consecutive frequencies that...
- The energy required to ionize a hydrogen like ion in its ground state is 9 Rydbergs. What is the wavelength of the radiation...