JEE Advanced questions
579 published questions with worked solutions.
- Consider the motion of a positive point charge in a region where there are simultaneous uniform electric and magnetic fields E =...
- A person blows into open-end of a long pipe. As a result, a high-pressure pulse of air travels down the pipe. When this pulse...
- A proton is fired from very far away towards a nucleus with charge Q = 120 e, where e is the electronic charge. It makes a...
- In allene ( C_3H_4 ), the type(s) of hybridisation of the carbon atoms is (are)
- The colour of light absorbed by an aqueous solution of CuSO_4 is
- The carboxyl functional group (–COOH) is present in
- Which ordering of compounds is according to the decreasing order of the oxidation state of nitrogen?
- As per IUPAC nomenclature, the name of the complex [Co(H_2O)_4(NH_3)_2]Cl_3 is
- Choose the correct reason(s) for the stability of the **lyophobic** colloidal particles.
- 29.2% (w/w) HCl stock solution has a density of 1.25 g mL^ -1 . The molecular weight of HCl is 36.5 g mol^ -1 . The volume (mL)...
- The total number of ways in which 5 balls of different colours can be distributed among 3 persons so that each person gets at...
- Let f(x) = cases x^2 | x |, & x 0 0, & x = 0 cases , x R , then f is
- The function f : [0, 3] [1, 29], defined by f(x) = 2x^3 - 15x^2 + 36x + 1, is
- If _ x ( x^2 + x + 1 x + 1 - ax - b ) = 4, then
- Let z be a complex number such that the imaginary part of z is nonzero and a = z^2 + z + 1 is real. Then a **cannot** take the...
- The ellipse E_1 : x^2 9 + y^2 4 = 1 is inscribed in a rectangle R whose sides are parallel to the coordinate axes. Another...
- Let P = [a_ ij ] be a 3×3 matrix and let Q = [b_ ij ], where b_ ij = 2^ i+j a_ ij for 1 i, j 3. If the determinant of P is 2,...
- The integral ^2x ( x + x)^ 9/2 ,dx equals (for some arbitrary constant K)
- The point P is the intersection of the straight line joining the points Q(2, 3, 5) and R(1, −1, 4) with the plane 5x − 4y − z =...
- The locus of the mid-point of the chord of contact of tangents drawn from points lying on the straight line 4x − 5y = 20 to the...