JEE Main questions
34495 published questions with worked solutions.
- The correct statements from the following are : (A) Ionic radii of trivalent cations of group 13 elements decreases down the...
- Consider the general reaction given below at 400 K xA(g) yB(g) The values of K_p and K_c are studied under the same condition of...
- For the following gas phase equilibrium reaction at constant temperature, NH_3(g) 1 2 N_2(g)+ 3 2 H_2(g) If the total pressure is...
- x mg of pure HCl was used to make an aqueous solution. 25.0 mL of 0.1M , Ba(OH)_2 solution is used when the HCl solution was...
- Consider all the structural isomers with molecular formula C_5H_ 11 Br are separately treated with KOH (aq) to give respective...
- If f(x) = cases a|x| + x^2 - 2 |x|( |x|) x & , x 0 b & , x = 0 cases is continuous at x = 0, then a + b is equal to :
- Let 2 < < and = - 1 2 2 . Then the value of ( 150 2 )( 8 + 8 ) + ( 150 2 )( 8 - 8 ) is equal to :
- Let a = i - 2 j + 3 k , b = 2 i + j - k , c = i + j + k and v = a b . If v c = 11 and the length of the projection of b on c is...
- Consider two sets A= x z:||(x-3)-3| 1 and B= x R- 1,2 : (x-2)(x-4) x-1 _ e (|x-2|)=0 Then the number of onto functions f: A B is...
- The system of linear equations x+y+z=6 2x+5y+az=36 x+2y+3z=b has
- The sum of all the real solutions of the equation _ (x+3) (6x^2+28x+30) = 5-2 _ (6x+10) (x^2+6x+9) is equal to :
- Let a , b , c be three vectors such that a b = 2( a c ). If | a | = 1, | b | = 4, | c | = 2, and the angle between b and c is 60^...
- The least value of ( ^2 - 6 + 3 ^2 + 2) is
- Let I(x) = 3dx (4x+6)( 4x^2+8x+3 ) and I(0) = 3 4 +20. If I ( 1 2 ) = a 2 b +c, where a, b, c N , gcd(a,b)=1, then a+b+c is equal...
- The number of ways, in which 16 oranges can be distributed to four children such that each child gets at least one orange, is
- Let A = 0,1,2,...,9 . Let R be a relation on A defined by (x,y) R if and only if |x-y| is a multiple of 3. Given below are two...
- If z = 3 2 + i 2 , i = -1 , then (z^ 201 - i)^8 is equal to
- If the mean and the variance of the data Class 4 - 8 8 - 12 12 - 16 16 - 20 Frequency 3 4 7 are and 19 respectively, then the...
- Let _ k=1 ^ n a_k = n^2 + n. If a_ 10 = 59 and a_6 = 7a_1 then + is equal to
- If the solution curve y = f(x) of the differential equation (x^2-4)y' - 2xy + 2x(4-x^2)^2 = 0, x > 2, passes through the point...