JEE Main 2021 (Online) 1st September Evening Shift — Question Paper
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Physics
Chemistry
- The sum of oxidation states of two silver ions in [Ag(NH₃)₂] [Ag(CN)₂] complex is…
- Monomer units of Dacron polymer are :
- A peptide synthesized by the reactions of one molecule each of Glycine, Leucine…
- In the following sequence of reactions a compound A, (molecular formula C₆H₁₂O₂) with a…
- Hydrogen peroxide reacts with iodine in basic medium to give :
- The spin-only magnetic moment value of B₂ + species is _____________ × 10⁻² BM. (Nearest…
- A 50 watt bulb emits monochromatic red light of wavelength of 795 nm. The number of…
- The number of atoms in 8g of sodium is x × 10²³. The value of x is ____________…
- For the reaction, 2NO₂(g) ⇌ N₂O₄(g), when ΔS = -176.0 JK⁻¹ and ΔH = -57.8 kJ mol⁻¹, the…
- Given below are two statements : Statement I : The nucleophilic addition of sodium…
- The stereoisomers that are formed by electrophilic addition of bromine to…
- If 80 g of copper sulphate CuSO₄ . 5H₂O is dissolved in deionised water to make 5L of…
- The oxide without nitrogen-nitrogen bond is :
- Calamine and Malachite, respectively, are the ores of :
- Number of paramagnetic oxides among the following given oxides is ____________. Li₂O…
- Which one of the following given graphs represents the variation of rate constant (k)…
- Identify the element for which electronic configuration in +3 oxidation state is [Ar]3d⁵ :
- Which one of the following gives the most stable Diazonium salt?
- Identify A in the following reaction.
- The molar solubility of Zn(OH)₂ in 0.1 M NaOH solution is x × 10⁻¹⁸ M. The value of x is…
- In the given chemical reaction, colors of the Fe²⁺ and Fe³⁺ ions, are respectively…
- Experimentally reducing a functional group cannot be done by which one of the following…
- If the conductivity of mercury at 0°C is 1.07 × 10⁶ S m⁻¹ and the resistance of a cell…
- The potassium ferrocyanide solution gives a Prussian blue colour, when added to :
- The Crystal Field Stabilization Energy (CFSE) and magnetic moment (spin-only) of an…
Mathematics
- The area, enclosed by the curves y=sin x+cos x and y=|cos x-sin x| and the lines…
- Let P₁, P₂, ......, P₁₅ be 15 points on a circle. The number of distinct triangles…
- The function f(x), that satisfies the condition f(x) = x + ∫₀^(π /2) sin x.cos y f(y)…
- Let f(x) be a polynomial of degree 3 such that f(k) = - 2/k for k = 2, 3, 4, 5. Then the…
- If y = y(x) is the solution curve of the differential equation x²dy + ( y - 1/x )dx = 0…
- A man starts walking from the point P(-3, 4), touches the x-axis at R, and then turns to…
- The range of the function, f(x) = log _(√5)( 3 + cos ( 3π/4 + x ) + cos ( π/4 + x ) +…
- Let f : R → R be a continuous function. Then lim _(x → π/4) (π/4∫₂^(sec ²x) f(x) dx)/(x²…
- The numbers of pairs (a, b) of real numbers, such that whenever α is a root of the…
- Let f(x) = x⁶ + 2x⁴ + x³ + 2x + 3, x ∈ R. Then the natural number n for which lim _(x →…
- If for the complex numbers z satisfying | z - 2 - 2i | ≤ 1, the maximum value of | 3iz +…
- Let Sₙ = 1 . (n - 1) + 2 . (n - 2) + 3 . (n - 3) + ..... + (n - 1) . 1, n ≥ 4. The sum…
- Let X be a random variable with distribution. x | -2 | -1 | 3 | 4 | 6; P(X = x) | 1/5 |…
- Let the acute angle bisector of the two planes x - 2y - 2z + 1 = 0 and 2x - 3y - 6z + 1…
- Let the points of intersections of the lines x - y + 1 = 0, x - 2y + 3 = 0 and 2x - 5y +…
- Let θ be the acute angle between the tangents to the ellipse x²/9 + y²/1 = 1 and the…
- If the sum of the coefficients in the expansion of (x + y)ⁿ is 4096, then the greatest…
- Let [t] denote the greatest integer ≤ t. The number of points where the function f(x) =…
- The function f(x) = x³ - 6x² + ax + b is such that f(2) = f(4) = 0. Consider two…
- The distance of line 3y - 2z - 1 = 0 = 3x - z + 4 from the point (2, -1, 6) is :
- Consider the parabola with vertex ( 1/2,3/4 ) and the directrix y = 1/2. Let P be the…
- Consider the system of linear equations -x + y + 2z = 0 3x - ay + 5z = 1 2x - 2y - az =…
- Let a⃗ = 2î - ĵ + 2k̂ and b⃗ = î + 2ĵ - k̂. Let a vector v⃗ be in the plane containing…
- Let a₁, a₂, ..........., a₂₁ be an AP such that Σₙ₌₁²⁰ 1/aₙaₙ₊₁ = 4/9. If the sum of…
- Let J_(n,m) = ∫₀^(1/2) xⁿ/(xᵐ - 1)dx, ∀ n > m and n, m ∈ N. Consider a matrix A =…
- cos ⁻¹(cos ( - 5)) + sin ⁻¹(sin (6)) - tan ⁻¹(tan (12)) is equal to : (The inverse…
- If n is the number of solutions of the equation 2 cos x( 4 sin ( π/4 + x )sin ( π/4 - x…
- All the arrangements, with or without meaning, of the word FARMER are written excluding…
- Two squares are chosen at random on a chessboard (see figure). The probability that they…
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