JEE Main questions
34568 published questions with worked solutions.
- For a certain thermochemical reaction M → N at T = 400 K, ΔH° = 77.2 kJ mol⁻¹, ΔS = 122 JK⁻¹, log equilibrium constant (log K) is...
- The hydrogen electrode is dipped in a solution of pH = 3 at 25°C. The potential of the electrode will be – ____ × 10⁻² V....
- Total number of ions from the following with noble gas configuration is ____. Sr²⁺ (z = 38), Cs⁺ (z = 55), La²⁺ (z = 57), Pb²⁺ (z...
- The Spin only magnetic moment of square planar complex [Pt(NH₃)Cl(NH₂CH₃)]Cl is ____ B.M. (Nearest integer) (Given atomic number...
- 1 mole of PbS is oxidised by "X" moles of O₃ to get "Y" moles of O₂. X + Y = ____.
- Let e₁ be the eccentricity of the hyperbola x^2 16 - y^2 9 = 1 and e₂ be the eccentricity of the ellipse x^2 a^2 + y^2 b^2 = 1, a...
- The values of α, for which vmatrix 1 & 32 & + 32 1 & 13 & + 13 2 + 3 & 3 + 1 & 0 vmatrix = 0, lie in the interval
- Let R be the interior region between the lines 3x – y + 1 and x + 2y – 5 = 0 containing the origin. The set of all values of a,...
- The integral (x^8 - x^2)dx (x^ 12 + 3x^6 + 1) ^ -1 (x^3 + 1 x^3 ) is equal to:
- Consider the function f : (0, 2) → R defined by f(x) = x2 + 2x and the function g(x) defined by g(x) = cases f(t) , & 0 < t x and...
- Let the image of the point (1, 0, 7) in the line x1 = y-1 2 = z-2 3 be the point (α, β, γ). Then which one of the following...
- The 20ᵗʰ term from the end of the progression 20, 19 14, 18 12, 17 34, , -129 14 is :
- Let g(x) = 3f ( x3 ) + f(3 - x) and f″(x) > 0 for all x ∈ (0, 3). If g is decreasing in (0, α) and increasing in (α, 3), then 8α...
- The position vectors of the vertices A, B and C of a triangle are 2 i - 3 j + 3 k, 2 i + 2 j + 3 k, and - i + j + 3 k,...Not in JEE syllabus
- If _ x 0 3 + x + x + _e(1 - x) 3 ^2x = 13, then 2α – β is equal to:
- Let A and B be two finite sets with m and n elements respectively. The total number of subsets of the set A is 56 more than the...
- Considering only the principal values of inverse trigonometric functions, the number of positive real values of x satisfying...
- Let the position vectors of the vertices A, B and C of a triangle be 2 i + 2 j + k, i + 2 j + 2 k and 2 i + j + 2 k respectively....Not in JEE syllabus
- If y = y(x) is the solution curve of the differential equation (x² – 4)dy – (y² – 3y)dx = 0, x > 2, y(4) = 3/2 and the slope of...
- If 2tan²θ – 5secθ = 1 has exactly 7 solutions in the interval [0, n 2 ], for the least value of n ∈ N, then _ k=1 ^n k 2^k is...Not in JEE Main syllabus