JEE Advanced questions
3844 published questions with worked solutions.
- Three moles of B_2H_6 are completely reacted with methanol. The number of moles of boron containing product formed is
- The molar conductivity of a solution of a weak acid HX (0.01 M) is 10 times smaller than the molar conductivity of a solution of...
- The correct statement(s) regarding, (i) HClO, (ii) HClO_2 , (iii) HClO_3 and (iv) HClO_4 , is(are)
- The pair(s) of ions where BOTH the ions are precipitated upon passing H_2S gas in presence of dilute HCl, is(are)
- Under hydrolytic conditions, the compounds used for preparation of linear polymer and for chain termination, respectively, areNot in JEE Main or NEET syllabus
- When O_2 is adsorbed on a metallic surface, electron transfer occurs from the metal to O_2 . The **TRUE** statement(s) regarding...Not in JEE Main or NEET syllabus
- For any integer k, let _k= ( k 7 )+i ( k 7 ), where i= -1 . The value of the expression _ k=1 ^ 12 | _ k+1 - _k| _ k=1 ^ 3 | _...
- Suppose that all the terms of an arithmetic progression (A.P.) are natural numbers. If the ratio of the sum of the first seven...
- Suppose that the foci of the ellipse x^2 9 + y^2 5 =1 are (f_1,0) and (f_2,0) where f_1>0 and f_2<0. Let P_1 and P_2 be two...
- Let m and n be two positive integers greater than 1. If _ 0 ( e^ ( ^n) -e ^m )=- ( e 2 ) then the value of m n is
- Let f: R R be a continuous odd function, which vanishes exactly at one point and f(1)= 1 2 . Suppose that F(x)= _ -1 ^ x f(t) ,dt...
- Suppose that p , q and r are three non-coplanar vectors in R ^3. Let the components of a vector s along p , q and r be 4, 3 and...
- Let S be the set of all non-zero real numbers such that the quadratic equation x^2-x+ =0 has two distinct real roots x_1 and x_2...
- If =3 ^ -1 ( 6 11 ) and =3 ^ -1 ( 4 9 ), where the inverse trigonometric functions take only the principal values, then the...
- Let E_1 and E_2 be two ellipses whose centers are at the origin. The major axes of E_1 and E_2 lie along the x-axis and the...
- Consider the hyperbola H:x^2-y^2=1 and a circle S with center N(x_2,0). Suppose that H and S touch each other at a point...
- The option(s) with the values of a and L that satisfy the following equation is(are) _0^ 4 e^t( ^6at+ ^4at) ,dt _0^ e^t( ^6at+...
- Let f,g:[-1,2] R be continuous functions which are twice differentiable on the interval (-1,2). Let the values of f and g at the...
- In a historical experiment to determine Planck's constant, a metal surface was irradiated with light of different wavelengths....
- A uniform wooden stick of mass 1.6 kg and length l rests in an inclined manner on a smooth, vertical wall of height h(<l) such...