JEE Main questions
34495 published questions with worked solutions.
- Observe the following reactions at T(K) I. A → products. II. 5Br-(aq)+BrO3-(aq)+6H+(aq) → 3Br2(aq)+3H2O(l) Both the reactions are...
- Identify the INCORRECT statements from the following: A. Notation Mg-24-12 represents 24 protons and 12 neutrons. B. Wavelength...
- The oxidation state of chromium in the final product formed in the reaction between KI and acidified K_2Cr_2O_7 solution is:
- The work functions of two metals (M_A and M_B) are in the 1:2 ratio. When these metals are exposed to photons of energy 6 eV, the...
- X_2(g) + Y_2(g) 2Z(g) X_2(g) and Y_2(g) are added to a 1 L flask and it is found that the system attains the above equilibrium at...
- If the function f(x) = e^x(e^ x - x -1) + _e( x + x) - x x - x is Continuous at x=0, then the value of f(0) is equal to
- Let a circle of radius 4 pass through the origin O, the points A(- 3 a, 0) and B(0, - 2 b), where a and b are real parameters and...
- Let the lines L_1: r = i +2 j +3 k + (2 i +3 j +4 k ), R and L_2: r = (4 i + j )+ (5 i +2 j + k ), R , intersect at the point R....
- Let 729, 81, 9, 1, be a sequence and P_n denote the product of the first n terms of this sequence. If 2 _ n=1 ^ 40 (P_n)^ 1 n =...
- Let a = 2 i + j -2 k , b = i + j and c = a b . Let d be a vector such that | d - a | = 11 , | c d | = 3 and the angle between c...
- If the domain of the function f(x) = _ (10x^2-17x+7) (18x^2-11x+1) is (- ,a) (b,c) (d,e, ) - e , then 90(a+b+c+d+e) equals:
- Let each of the two ellipses E_1: x^2 a^2 + y^2 b^2 =1, (a>b) and E_2: x^2 A^2 + y^2 B^2 =1, (A<B) have eccentricity 4 5 . Let...
- The value of 3 cosec 20^ - 20^ 20^ 40^ 60^ 80^ is equal to
- Let S = z C : | z-6i z-2i | = 1 and | z-8+2i z+2i | = 3 5 . Then _ z S |z|^2 is equal to
- If x = 5 12 for some x ( , 3 2 ), then 7x ( 13x 2 + 13x 2 ) + 7x ( 13x 2 - 13x 2 ) is equal to
- Let f(t) = ( 1- ( _e t) 1- ( _e t) )dt, t>1. If f(e^ /2 ) = -e^ /2 and f(e^ /4 ) = e^ /4 , then equals
- Let R be a relation defined on the set 1,2,3,4 1,2,3,4 by R = ((a,b),(c,d)): 2a+3b = 3c+4d . Then the number of elements in R is
- Let A(1,0), B(2,-1) and C ( 7 3 , 4 3 ) be three points. If the equation of the bisector of the angle ABC is x + y = 5, then the...
- Let S = 1 25! + 1 3!23! + 1 5!21! + up to 13 terms. If 13S = 2^k n! , k N, then n+k is equal to
- Consider an A.P.: a_1, a_2, , a_n; a_1>0. If a_2 - a_1 = -3 4 , a_n = 1 4 a_1, and _ i=1 ^ n a_i = 525 2 , then _ i=1 ^ 17 a_i is...