JEE Main 2025 (Online) 2nd April Morning Shift — Question Paper
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Physics
Chemistry
- A transition metal (M) among Mn, Cr, Co and Fe has the highest standard electrode…
- Designate whether each of the following compounds is aromatic or not aromatic.
- A solution is made by mixing one mole of volatile liquid A with 3 moles of volatile…
- On complete combustion 1.0 g of an organic compound (X) gave 1.46 g of CO₂ and 0.567 g…
- A molecule with the formula AX₄ Y has all it's elements from p-block. Element A is…
- An optically active alkyl halide C₄ H₉ Br[A] reacts with hot KOH dissolved in ethanol…
- Identify the correct statement among the following :
- Which of the following graph correctly represents the plots of K_H at 1 bar for gases in…
- Given below are two statements : Statement (I) : In octahedral complexes, when Δ₀<P high…
- Among SO₂, NF₃, NH₃, XeF₂, ClF₃ and SF₄, the hybridization of the molecule with nonzero…
- Given below are two statements: Statement I : Vanilin will react with NaOH and also with…
- If equal volumes of A B₂ and X Y (both are salts) aqueous solutions are mixed, which of…
- According to Bohr's model of hydrogen atom, which of the following statement is incorrect?
- Given below are two statements : Statement (I) : The metallic radius of Al is less than…
- Choose the correct tests with respective observations. (A) CuSO₄ (acidified with acetic…
- 0.1 mol of the following given antiviral compound (P) will weigh ________ × 10⁻¹ g…
- The property/properties that show irregularity in first four elements of group-17 is/are…
- CaCO₃( s)+2 HCl(aq) → CaCl₂(aq)+CO₂( g)+H₂ O(l) Consider the above reaction, what mass…
- Consider the following compound (X) H-C(I)≡C-CH₂(II)-CH(III)-CH₃(IV) (X) The most stable…
- Two vessels A and B are connected via stopcock. The vessel A is filled with a gas at a…
- Consider the following molecules: The correct order of rate of hydrolysis is :
- The correct order of basic nature in aqueous solution for the bases NH₃,H₂…
- Consider the following equilibrium, CO( g)+2H₂( g)⇌ CH₃OH( g) 0.1 mol of CO along with a…
- For the reaction A → products. The concentration of A at 10 minutes is _________ × 10⁻³…
- Consider the following electrochemical cell at standard condition. Au( s)|QH₂, Q| NH₄…
Mathematics
- Let Pₙ=αⁿ+βⁿ, n ∈ N. If P₁₀=123, P₉=76, P₈=47 and P₁=1, then the quadratic equation…
- Let A B C D be a tetrahedron such that the edges A B, A C and A D are mutually…
- The absolute difference between the squares of the radii of the two circles passing…
- Let A=[α, -1; 6, β], α>0, such that det(A)=0 and α+β=1. If I denotes 2 × 2 identity…
- Let a₁, a₂, a₃, … be in an A.P. such that Σk=1¹² a₂ₖ₋₁=-72/5 a₁, a₁ ≠ 0. If Σk=1ⁿ aₖ=0…
- Let the vertices Q and R of the triangle PQR lie on the line (x+3)/5=(y-1)/2=(z+4)/3…
- Let [.] denote the greatest integer function. If ∫0^(e³)[1/eˣ⁻¹] d x=α-log ₑ 2, then α³…
- If a⃗ is a nonzero vector such that its projections on the vectors 2 î-ĵ+2 k̂, î+2 ĵ-2…
- If the system of linear equations 3 x+y+β z=3 ; 2 x+α y-z=-3 ; x+2 y+z=4 has infinitely…
- Let a ∈ R and A be a matrix of order 3 × 3 such that det(A)=-4 and A+I=[1, a, 1; 2, 1…
- Let f: R → R be a thrice differentiable odd function satisfying f′(x) ≥ 0…
- If S and S′ are the foci of the ellipse x²/18+y²/9=1 and P be a point on the ellipse…
- Let z be a complex number such that |z|=1. If (2+k² z)/(k+z̄)=k z, k ∈ R, then the…
- If θ ∈[-2 π, 2 π], then the number of solutions of 2 √2 cos ² θ+(2-√6) cos θ-√3=0, is…
- Three distinct numbers are selected randomly from the set {1,2,3, …, 40}. If the…
- Let one focus of the hyperbola H: x²/a²-y²/b²=1 be at (√10, 0) and the corresponding…
- If the function f(x)=2 x³-9 a x²+12 a² x+1, where a>0, attains its local maximum and…
- The number of sequences of ten terms, whose terms are either 0 or 1 or 2 , that contain…
- If the area of the region {(x,y):|4-x²|≤ y≤ x²,y≤ 4,x≥ 0} is (80√2/α-β),α,β∈ N, then α+β…
- The largest n ∈ N such that 3ⁿ divides 50 ! is :
- Let A be the set of all functions f: Z → Z and R be a relation on A such that R={(f, g)…
- Let the focal chord PQ of the parabola y²=4 x make an angle of 60° with the positive x…
- The term independent of x in the expansion of ((x+1)/(x^(2 / 3)+1-x^(1 /…
- For α, β, γ ∈ R, if lim x → 0 (x² sin α x+(γ-1) e^(x²))/(sin 2 x-β x)=3, then β+γ-α is…
- Let f: R → R be a twice differentiable function such that (sin x cos y)(f(2 x+2 y)-f(2…
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