JEE Main questions
34495 published questions with worked solutions.
- Number of complexes with even number of electrons in t₂g orbitals is – [Fe(H₂O)₆]²⁺, [Co(H₂O)₆]²⁺, [Co(H₂O)₆]³⁺, [Cu(H₂O)₆]²⁺,...
- The 'spin only' magnetic moment value of MO₄²⁻ is _____ BM. (Where M is a metal having least metallic radii among Sc, Ti, V, Cr,...
- Number of molecules from the following which are exceptions to octet rule is _____. CO₂, NO₂, H₂SO₄, BF₃, CH₄, SiF₄, ClO₂, PCl₅,...
- If 279 g of aniline is reacted with one equivalent of benzenediazonium chloride, the maximum amount of aniline yellow formed will...
- Consider the following reaction A + B → C. The time taken for A to become 1/4th of its initial concentration is twice the time...
- A solution containing 10g of an electrolyte AB₂ in 100g of water boils at 100.52°C. The degree of ionization of the electrolyte...
- The value of k ∈ ℕ for which the integral I_n = _0^1(1 - x^k)^ndx, n ∈ ℕ, satisfies 147 I₂₀ = 148 I₂₁ is:
- The sum of all the solutions of the equation (8)²ˣ − 16·(8)ˣ + 48 = 0 is:
- Let the circles C₁ : (x − α)² + (y − β)² = r₁² and C₂ : (x − 8)² + (y - 15 2 )^2 = r₂² touch each other externally at the point...
- Let P(x, y, z) be a point in the first octant, whose projection in the xy-plane is the point Q. Let OP = γ; the angle between OQ...
- The number of critical points of the function f(x) = (x − 2)^ 2/3 (2x + 1) is:
- Let f(x) be a positive function such that the area bounded by y = f(x), y = 0 from x = 0 to x = a > 0 is e⁻ᵃ + 4a² + a − 1. Then...
- Let f(x) = 4cos³x + 3√3 sin²x − 10. The number of points of local maxima of f in interval (0, 2π) is:
- Let A = bmatrix 2 & a & 0 1 & 3 & 1 0 & 5 & b bmatrix . If A³ = 4A² − A − 21I, where I is the identity matrix of order 3 × 3,...
- If the shortest distance between the lines L₁ : r = (2 + λ)î + (1 − 3λ)ĵ + (3 + 4λ)k̂, λ ∈ R, L₂ : r = 2(1 + μ)î + 3(1 + μ)ĵ + (5...
- If sin x = − 35, where π < x < 3 2 , then 80(tan²x − cos x) is equal to:
- Let I(x) = 6 ^2x(1 - x)^2 dx. If I(0) = 3, then I ( 12 ) is equal to:
- The equations of two sides AB and AC of a triangle ABC are 4x + y = 14 and 3x − 2y = 5, respectively. The point (2, - 43 )...
- Let [t] be the greatest integer less than or equal to t. Let A be the set of all prime factors of 2310 and f : A → ℤ be the...
- Let z be a complex number such that |z + 2| = 1 and Im ( z + 1 z + 2 ) = 15. Then the value of |Re( z + 2 )| is: