JEE Main questions
34495 published questions with worked solutions.
- Let A and B be two events such that P( A B ) = 1 6 , P(A B) = 1 4 and P( A ) = 1 4 , where A stands for the complement of the...
- The locus of the foot of perpendicular drawn from the centre of the ellipse x^2 + 3y^2 = 6 on any tangent to it is:
- If f and g are differentiable functions in [0, 1] satisfying f(0) = 2 = g(1), g(0) = 0 and f(1) = 6, then for some c ]0, 1[:
- Three positive numbers form an increasing G.P. If the middle term in this G.P. is doubled, the new numbers are in A.P. Then the...
- If g is the inverse of a function f and f'(x) = 1 1 + x^5 , then g'(x) is equal to:
- If , 0, and f(n) = ^n + ^n and vmatrix 3 & 1 + f(1) & 1 + f(2) 1 + f(1) & 1 + f(2) & 1 + f(3) 1 + f(2) & 1 + f(3) & 1 + f(4)...
- If (10)^9 + 2(11)^1(10)^8 + 3(11)^2(10)^7 + + 10(11)^9 = k(10)^9, then k is equal to:
- The angle between the lines whose direction cosines satisfy the equations + m + n = 0 and ^2 = m^2 + n^2 is -
- The variance of first 50 even natural numbers is:
- If X = 4^n - 3n - 1 : n N and Y = 9(n - 1) : n N , where N is the set of natural numbers, then X Y is equal to:
- The pressure that has to be applied to the ends of a steel wire of length 10 cm to keep its length constant when its temperature...
- The radiation corresponding to 3 2 transition of hydrogen atom falls on a metal surface to produce photoelectrons. These...
- A bob of mass m attached to an inextensible string of length is suspended from a vertical support. The bob rotates in a...
- A thin convex lens made from crown glass ( = 3 2 ) has focal length f. When it is measured in two different liquids having...
- A green light is incident from the water to the air-water interface at the critical angle ( ). Select the correct statement -
- A block of mass m is placed on a surface with a vertical cross section given by y = x^3 6 . If the coefficient of friction is...
- The coercivity of a small magnet where the ferromagnet gets demagnetized is 3 10^3 A m^ -1 . The current required to be passed in...
- Two beams, A and B, of plane polarized light with mutually perpendicular planes of polarization are seen through a Polaroid. From...
- Assume that an electric field E = 30x^2 , i exists in space. Then the potential difference V_A - V_O, where V_O is the potential...
- Match List-I (Electromagnetic wave type) with List-II (Its association/application) and select the correct option from the...