JEE Main 2021 (Online) 25th July Morning Shift — Question Paper
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Physics
Chemistry
- CO₂ gas is bubbled through water during a soft drink manufacturing process at 298 K. If…
- Given below are two statements : Statement I : None of the alkaline earth metal…
- Which one of the following chemical agent is not being used for dry-cleaning of clothes?
- The ionic radii of K⁺, Na⁺, Al³⁺ and Mg²⁺ are in the order:
- Which one among the following resonating structures is not correct?
- is a repeating unit for :
- The water soluble protein is :
- Consider the complete combustion of butane, the amount of butane utilized to produce…
- Sodium stearate CH₃(CH₂)₁₆COO⁻Na⁺ is an anionic surfactant which forms micelles in oil…
- Which one of the following compounds will liberate CO₂, when treated with NaHCO₃ ?
- In the leaching of alumina from bauxite, the ore expected to leach out in the process by…
- An organic compound 'A' C₄H₈ on treatment with KMnO₄/H⁺ yields compound 'B' C₃H₆O…
- Which one of the products of the following reactions does not react with Hinsberg…
- Given below are two statements, one is labelled as Assertion (A) and other is labelled…
- The correct order of following 3d metal oxides, according to their oxidation numbers is…
- At 298.2 K the relationship between enthalpy of bond dissociation (in kJ mol⁻¹) for…
- Which one of the following species responds to an external magnetic field?
- Consider the cell at 25°C Zn | Zn²⁺ (aq), (1M) || Fe³⁺ (aq), Fe²⁺ (aq) | Pt(s) The…
- A source of monochromatic radiation of wavelength 400 nm provides 1000 J of energy in 10…
- For the reaction A + B ⇌ 2C the value of equilibrium constant is 100 at 298 K. If the…
- Three moles of AgCl get precipitated when one mole of an octahedral co-ordination…
- Which one of the following compounds of Group-14 elements is not known?
- The number of sigma bonds in H₃C-C=CH-C≡C-H is _______________.
- When 10 mL of an aqueous solution of Fe²⁺ ions was titrated in the presence of dil H₂SO₄…
- At 298 K, the enthalpy of fusion of a solid (X) is 2.8 kJ mol⁻¹ and the enthalpy of…
Mathematics
- Let y = y(x) be the solution of the differential equation dy/dx = 1 + xeʸ⁻ˣ, - √2 < x <…
- The locus of the centroid of the triangle formed by any point P on the hyperbola 16x² -…
- Let p⃗ = 2î + 3ĵ + k̂ and q⃗ = î + 2ĵ + k̂ be two vectors. If a vector r⃗ = (α î + β ĵ +…
- Let an ellipse E:x²/a² + y²/b² = 1, a² > b², passes through ( √(3/2) ,1 ) and has…
- The value of the definite integral ∫_(π /24)^(5π /24) dx/(1 + ∛(tan 2x)) is :
- Let f(x) = 3sin ⁴x + 10sin ³x + 6sin ²x - 3, x ∈ [ - π/6,π/2 ]. Then, f is :
- Let 9 distinct balls be distributed among 4 boxes, B₁, B₂, B₃ and B₄. If the probability…
- The area (in sq. units) of the region, given by the set {(x,y)∈ R× R|x≥ 0,2x²≤ y≤ 4-2x}…
- There are 5 students in class 10, 6 students in class 11 and 8 students in class 12. If…
- If α, β are roots of the equation x² + 5(√2 )x + 10 = 0, α > β and Pₙ = α ⁿ - β ⁿ for…
- Let Sₙ be the sum of the first n terms of an arithmetic progression. If S₃ₙ = 3S₂ₙ, then…
- Let a parabola b be such that its vertex and focus lie on the positive x-axis at a…
- Let y = y(x) be solution of the following differential equation eʸdy/dx - 2eʸ sin x +…
- Let S = { n ∈ N| ( 0, i; 1, 0 )ⁿ( a, b; c, d ) = ( a, b; c, d )∀ a,b,c,d ∈ R }, where i…
- The term independent of 'x' in the expansion of ( (x + 1)/(x^(2/3) - x^(1/3) + 1) - (x -…
- If the value of ( 1 + 2/3 + 6/3² + 10/3³ + ....upto ∞ )^(log _((0.25))( 1/3 + 1/3² +…
- The sum of all values of x in [0, 2π], for which sin x + sin 2x + sin 3x + sin 4x = 0…
- The number of real roots of the equation e⁶ˣ - e⁴ˣ - 2e³ˣ - 12e²ˣ + eˣ + 1 = 0 is :
- Let the vectors (2 + a + b)î + (a + 2b + c)ĵ - (b + c)k̂,(1 + b)î + 2bĵ - bk̂ and (2 +…
- Let g : N → N be defined as g(3n + 1) = 3n + 2, g(3n + 2) = 3n + 3, g(3n + 3) = 3n + 1…
- Let the foot of perpendicular from a point P(1, 2, -1) to the straight line L:x/1 = y/0…
- Let M = { A = ( a, b; c, d ):a,b,c,d ∈ { ± 3, ± 2, ± 1,0} }. Define f : M → Z, as f(A) =…
- If b is very small as compared to the value of a, so that the cube and other higher…
- Consider the following frequency distribution : Class : | 10-20 | 20-30 | 30-40 | 40-50…
- Let f : R → R be defined as f(x) = { (λ | x² - 5x + 6 |)/(μ (5x - x² - 6)),, x < 2…
- The ratio of the coefficient of the middle term in the expansion of (1 + x)²⁰ and the…
- The values of a and b, for which the system of equations 2x + 3y + 6z = 8 x + 2y + az =…
- Let f:[0,∞ ) → [0,∞ ) be defined as f(x) = ∫₀ˣ [y]dy where [x] is the greatest integer…
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