JEE Main questions
34495 published questions with worked solutions.
- Given below are four compounds: (a) n-propyl chloride (b) iso-propyl chloride (c) sec-butyl chloride (d) neo-pentyl chloride...
- Given below are some of the statements about Mn and Mn_2O_7. Identify the correct statements A. Mn forms the oxide Mn_2O_7 in...
- Given below are two statements: Statement I: The correct order in terms of bond dissociation enthalpy is Cl_2 > Br_2 > F_2 > I_2...
- The first and second ionization constants of H_2X are 2.5 10^ -8 and 1.0 10^ -13 respectively. The concentration of X^ 2- in 0.1M...
- The osmotic pressure of a living cell in 12 atm at 300 K. The strength of sodium chloride solution that is isotonic with the...
- A substance 'X' (1.5 g) dissolved in 150 g of a solvent 'Y' (molar mass = 300 g mol^ -1 ) led to an elevation of the boiling...
- Identify the metal ions among Co^ 2+ , Ni^ 2+ , Fe^ 2+ , V^ 3+ and Ti^ 2+ having a spin-only magnetic moment value more than 3.0...
- MX is a sparingly soluble salt that follows the given solubility equilibrium at 298 K MX(s) M^+(aq) + X^-(aq); K_ sp = 10^ -10 If...
- Let AB = 2 i + 4 j - 5 k and AD = i + 2 j + k , R . Let the projection of the vector v = i + j + k on the diagonal AC of the...
- Let the relation R on the set M = 1, 2, 3, , 16 be given by R = (x, y) : 4y = 5x - 3, x, y M . Then the minimum number of...
- Let the line x = -1 divide the area of the region (x, y) : 1 + x^2 y 3 - x in the ratio m : n, (m, n) = 1. Then m + n is equal to
- Let f(x) = x^ 2025 - x^ 2000 , x [0, 1] and the minimum value of the function f(x) in the interval [0, 1] be (80)^ 80 (n)^ -81 ....
- If a random variable x has the probability distribution x: 0, 1, 2, 3, 4, 5, 6, 7 p(x): 0, 2k, k, 3k, 2k^2, 2k, k^2+k, 7k^2 then...
- The number of distinct real solutions of the equation x|x + 4| + 3|x + 2| + 10 = 0 is
- Let f : [1, ) R be a differentiable function. If 6 _1^x f(t) ,dt = 3xf(x) + x^3 - 4 for all x 1, then the value of f(2) - f(3) is
- If the line x + 2y = 1, where R , does not meet the hyperbola x^2 - 9y^2 = 9, then a possible value of is:
- If the image of the point P(1, 2, a) in the line x-6 3 = y-7 2 = 7-z 2 is Q(5, b, c), then a^2 + b^2 + c^2 is equal to
- Let the set of all values of r, for which the circles (x+1)^2+(y+4)^2=r^2 and x^2+y^2-4x-2y-4=0 intersect at two distinct points...
- If A = bmatrix 2 & 3 3 & 5 bmatrix , then the determinant of the matrix (A^ 2025 - 3A^ 2024 + A^ 2023 ) is
- If the domain of the function f(x) = ^ -1 ( 5-x 3+2x ) + 1 _e(10-x) is (- , ] [ , ) - , then 6( + + + ) is equal to