JEE Advanced questions
3844 published questions with worked solutions.
- Consider the set of eight vectors V = a i + b j + c k : a, b, c -1, 1 . Three non-coplanar vectors can be chosen from V in 2^p...
- Using the expression 2d sin θ = λ, one calculates the values of d by measuring the corresponding angles θ in the range 0 to 90°....
- Two bodies, each of mass M, are kept fixed with a separation 2L. A particle of mass m is projected from the midpoint of the line...
- A particle of mass m is attached to one end of a mass-less spring of force constant k, lying on a frictionless horizontal plane....
- A steady current I flows along an infinitely long hollow cylindrical conductor of radius R. This cylinder is placed coaxially...
- Two vehicles, each moving with speed u on the same horizontal straight road, are approaching each other. Wind blows along the...
- Match List I with List II and select the correct answer using the codes given below the lists : List I P. Boltzmann constant Q....
- Match List I of the nuclear processes with List II containing parent nucleus and one of the end products of each process and then...
- The correct statement(s) about O_3 is(are)
- The thermal dissociation equilibrium of CaCO_3(s) is studied under different conditions. CaCO_3(s) CaO(s) + CO_2(g) For this...
- The K_ sp of Ag_2CrO_4 is 1.1 10^ -12 at 298 K. The solubility (in mol/L) of Ag_2CrO_4 in a 0.1 M AgNO_3 solution is
- The standard reduction potential data at 25 °C is given below. E^ ( Fe^ 3+ , Fe^ 2+ ) = +0.77 V; E^ ( Fe^ 2+ , Fe ) = -0.44 V E^...
- Let w = 3 + i 2 and P = w^n : n = 1, 2, 3, . Further H_1 = z C : Re z > 1 2 and H_2 = z C : Re z < -1 2 , where C is the set of...
- If 3^x = 4^ x-1 , then x =
- Let ω be a complex cube root of unity with ω ≠ 1 and P = [p_ ij ] be a n × n matrix with p_ ij = ^ i+j . Then P^2 0, when n =
- The function f(x) = 2|x| + |x + 2| - ||x + 2| - 2|x| | has a local minimum or a local maximum at x =
- For a R (the set of all real numbers), a ≠ −1, _ n (1^a + 2^a + + n^a) (n + 1)^ a-1 [(na + 1) + (na + 2) + + (na + n) ] = 1 60...
- Circle(s) touching x-axis at a distance 3 from the origin and having an intercept of length 2 7 on y-axis is (are)
- Two lines L_1 : x = 5, y 3 - = z -2 and L_2 : x = , y -1 = z 2 - are coplanar. Then α can take value(s)
- In a triangle PQR, P is the largest angle and P = 1 3 . Further the incircle of the triangle touches the sides PQ, QR and RP at...Not in JEE syllabus