JEE Main 2025 (Online) 3rd April Morning Shift — Question Paper
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Physics
Chemistry
- Among 10⁻⁹ g (each) of the following elements, which one will have the highest number of…
- 2 moles each of ethylene glycol and glucose are dissolved in 500 g of water. The boiling…
- The number of optical isomers exhibited by the iron complex (A) obtained from the…
- Number of molecules from below which cannot give iodoform reaction is : Ethanol…
- Which of the following statements are correct? A. The process of adding an electron to a…
- Consider the following reactions A+NaCl+H₂ SO₄ → CrO₂ Cl₂+ Side Products ; CrO₂ Cl_(2…
- Which of the following is the correct structure of L-Fructose?
- The least acidic compound, among the following is:
- Which of the following postulate of Bohr's model of hydrogen atom is not in agreement…
- In the following system, PCl₅( g)⇋ PCl₃( g)+Cl₂( g) at equilibrium, upon addition of…
- Correct order of limiting molar conductivity for cations in water at 298 K is :
- Given below are two statements : Statement I : A catalyst cannot alter the equilibrium…
- In a reaction A+B → C, initial concentrations of A and B are related as [A]₀=8[B]₀. The…
- Given : Δ H⊖ _(sub)[C (graphite )]=710 kJ mol⁻¹ ; Δ_(C-H) H⊖=414 kJ mol⁻¹ ; Δ_(H-H)…
- Identify the correct statements from the following. Choose the correct answer from the…
- In the following reactions, which one is NOT correct?
- Identify[A],[B] and[C], respectively in the following reaction sequence:
- Which compound would give 3-methyl-6-oxoheptanal upon ozonolysis?
- The correct order of the complexes [Co(NH₃)₅(H₂ O)]³⁺(A),[Co(NH₃)₆]³⁺(B),[Co(CN)₆]³⁻(C)…
- The metal ions that have the calculated spin-only magnetic moment value of 4.9 B.M. are…
- Which of the following properties will change when system containing solution 1 will…
- During estimation of nitrogen by Dumas' method of compound X(0.42 g) _________mL of N₂…
- 0.5 g of an organic compound on combustion gave 1.46 g of CO₂ and 0.9 g of H₂ O. The…
Mathematics
- If the domain of the function f(x)=log ₑ((2 x-3)/(5+4 x))+sin ⁻¹((4+3 x)/(2-x)) is [α…
- Let g be a differentiable function such that ∫₀ˣ g(t) d t=x-∫₀ˣ tg(t) d t, x ≥ 0 and let…
- Let the product of the focal distances of the point P(4,2 √3) on the hyperbola H…
- The area of the region bounded by the curve y=max{|x|,x|x-2|}, the x-axis and the lines…
- If Σᵣ₌₁⁹((r+3)/2ʳ) · ⁹ Cᵣ=α(3/2)⁹-β, α, β ∈ ℕ, then (α+β)² is equal to
- Let a line passing through the point (4,1,0) intersect the line L₁…
- The radius of the smallest circle which touches the parabolas y=x²+2 and x=y²+2 is
- Let a⃗=î+ĵ+k̂, b⃗=3 î+2 ĵ-k̂, c⃗=λ ĵ+μ k̂ and d be a unit vector such that a⃗ × d=b⃗ × d…
- Let A be a matrix of order 3 × 3 and |A|=5. If |2 adj(3 A adj(2 A))|=2^α · 3^β · 5^γ, α…
- Let z ∈ C be such that (z²+3 i)/(z-2+i)=2+3 i. Then the sum of all possible values of z²…
- Let A={-3,-2,-1,0,1,2,3}. Let R be a relation on A defined by x R y if and only if 0 ≤…
- The number of solutions of the equation 2 x+3 tan x=π, x ∈[-2 π, 2 π]-{ ± π/2, ± (3…
- The sum 1+3+11+25+45+71+… upto 20 terms, is equal to
- Let f(x)= (1+a x)^(1 / x) , x<0 ; 1+b, x=0 ; ((x+4)^(1 / 2)-2)/((x+c)^(1 / 3)-2), x>0 be…
- A line passes through the origin and makes equal angles with the positive coordinate…
- Letf(x)=∫ x³√(3-x²)dx. If5f(√2)=-4, thenf(1) is equal to
- A line passing through the point P(√5, √5) intersects the ellipse x²/36+y²/25=1 at A and…
- All five letter words are made using all the letters A, B, C, D, E and arranged as in an…
- Let α and β be the roots of x²+√3 x-16=0, and γ and δ be the roots of x²+3 x-1=0. If Pₙ=…
- If the number of seven-digit numbers, such that the sum of their digits is even, is m ·…
- The sum of all rational terms in the expansion of (2+√3)⁸ is :
- If y(x)=|sin x, cos x, sin x+cos x+1; 27, 28, 27; 1, 1, 1|, x ∈ ℝ , then (d² y)/(d x²)+y…
- Let the domain of the function f(x)=log ₂ log ₄ log ₆(3+4 x-x²) be (a, b). If ∫₀ᵇ⁻ᵃ[x²]…
- Line L₁ passes through the point (1,2,3) and is parallel to z-axis. Line L₂ passes…
- Let a₁, a₂, a₃, …. be a G.P. of increasing positive numbers. If a₃ a₅=729 and…
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