JEE Advanced questions
579 published questions with worked solutions.
- Let the eccentricity of the hyperbola x^2 a^2 - y^2 b^2 = 1 be reciprocal to that of the ellipse x^2 + 4y^2 = 4. If the hyperbola...
- Let f : R R be a function such that f(x + y) = f(x) + f(y), x, y R . If f(x) is differentiable at x = 0, then
- Consider the parabola y^2 = 8x. Let _1 be the area of the triangle formed by the end points of its latus rectum and the point P (...
- The positive integer value of n > 3 satisfying the equation 1 ( n ) = 1 ( 2 n ) + 1 ( 3 n ) is
- Let f : [1, ) [2, ) be a differentiable function such that f(1) = 2. If 6 _1^x f(t) ,dt = 3x ,f(x) - x^3 for all x 1, then the...
- Let f( ) = ( ^ -1 ( 2 ) ), where - 4 < < 4 . Then the value of d d( ) (f( ) ) is
- Oxidation states of the metal in the minerals haematite and magnetite, respectively, are
- Among the following complexes (K–P), K_3[Fe(CN)_6] (K), [Co(NH_3)_6]Cl_3 (L), Na_3[Co(oxalate)_3] (M), [Ni(H_2O)_6]Cl_2 (N),...
- Passing H_2S gas into a mixture of Mn^ 2+ , Ni^ 2+ , Cu^ 2+ and Hg^ 2+ ions in an acidified aqueous solution precipitates
- Consider the following cell reaction: 2Fe_ (s) + O_ 2(g) + 4H^+_ (aq) 2Fe^ 2+ _ (aq) + 2H_2O(l) E^ = 1.67 V At [ Fe^ 2+ ] = 10^...
- The freezing point (in °C) of a solution containing 0.1 g of K_3[Fe(CN)_6] (Mol. Wt. 329) in 100 g of water (K_f = 1.86 K kg mol^...
- Reduction of the metal centre in aqueous permanganate ion involves
- The equilibrium 2Cu^I Cu^0 + Cu^ II in aqueous medium at 25 °C shifts towards the left in the presence of
- For the first order reaction 2N_2O_5(g) 4NO_2(g) + O_2(g)
- Among the following, the number of compounds than can react with PCl_5 to give POCl_3 is O_2 , CO_2 , SO_2 , H_2O , H_2SO_4 ,...
- The volume (in mL) of 0.1 M AgNO_3 required for complete precipitation of chloride ions present in 30 mL of 0.01 M solution of...
- In 1 L saturated solution of AgCl [K_ sp (AgCl) = 1.6 10^ -10 ], 0.1 mol of CuCl [K_ sp (CuCl) = 1.0 10^ -6 ] is added. The...
- A point mass is subjected to two simultaneous sinusoidal displacements in x-direction, x_1(t) = A t and x_2(t) = A ( t + 2 3 )....
- The density of a solid ball is to be determined in an experiment. The diameter of the ball is measured with a screw gauge, whose...
- A series R-C circuit is connected to AC voltage source. Consider two cases; (A) when C is without a dielectric medium and (B)...