JEE Main questions
34495 published questions with worked solutions.
- A conductivity cell with two electrodes (dark side) are half filled with infinitely dilute aqueous solution of a weak...
- Consider the dissociation of the weak acid HX as given below: HX(aq) ⇌ H⁺(aq) + X⁻(aq), K_a = 1.2 × 10⁻⁵ [K_a: dissociation...
- The difference in the 'spin-only' magnetic moment values of KMnO₄ and the manganese product formed during titration of KMnO₄...
- Time required for 99.9% completion of a first order reaction is ____ time the required for completion of 90% reaction. (nearest...
- 9.3 g of pure aniline upon diazotization followed by coupling with phenol gives an orange dye. The mass of orange dye produced...
- The major product of the following reaction is P. CH₃C≡C–CH₃ (i) Na/liq. NH₃, (ii) dil. KMnO₄, 273 K → 'P'. Number of oxygen...
- Frequency of the de-Broglie wave of electron in Bohr's first orbit of hydrogen atom is ____ × 10¹³ Hz. (nearest integer) [Given:...
- Among CrO, Cr₂O₃ and CrO₃, the sum of spin-only magnetic moment values of basic and amphoteric oxides is ______ × 10⁻² BM...
- If f(x) = cases x^3 ( 1x ), & x 0 0, & x = 0 cases , then
- If A(3, 1, −1), B ( 53, 73, 13 ), C(2, 2, 1) and D ( 10 3 , 23, -1 3 ) are the vertices of a quadrilateral ABCD, then its area is
- _0^ /4 ^2x ^2x ( ^3x + ^3x)^2 dx is equal to
- The mean and standard deviation of 20 observations are found to be 10 and 2, respectively. On respectively, it was found that an...
- The function f(x) = x^2 + 2x - 15 x^2 - 4x + 9 , x ∈ R is
- For α, β ∈ R and a natural number n, let A_r = vmatrix r & 1 & n^2 2 + 2r & 2 & n^2 - 3r - 2 & 3 & n(3n - 1) 2 vmatrix . Then...
- The shortest distance between the lines x - 3 2 = y + 15 -7 = z - 9 5 and x + 1 2 = y - 1 1 = z - 9 -3 is
- A company has two plants A and B to manufacture motorcycles. 60% motorcycles are manufactured at plant A and the remaining are...
- Let the relations R₁ and R₂ on the set X = 1, 2, 3, ..., 20 be given by R₁ = (x, y) : 2x − 3y = 2 and R₂ = (x, y) : −5x + 4y = 0...
- The interval in which the function f(x) = xˣ, x > 0, is strictly increasing is
- A circle inscribed in an equilateral triangle of side of length 12. If the area and perimeter of any square inscribed in this...Not in JEE syllabus
- The number of triangles whose vertices are at the vertices of a regular octagon but none of whose sides is a side of the octagon...