JEE Advanced questions
1003 published questions with worked solutions.
- STATEMENT-1 : Alkali metals dissolve in liquid ammonia to give blue solutions. because STATEMENT-2 : Alkali metals in liquid...
- STATEMENT-1 : Glucose gives a reddish-brown precipitate with Fehling's solution. because STATEMENT-2 : Reaction of glucose with...
- STATEMENT-1 : Molecules that are not superimposable on their mirror images are chiral. because STATEMENT-2 : All chiral molecules...
- Let O(0, 0), P(3, 4), Q(6, 0) be the vertices of the triangle OPQ. The point R inside the triangle OPQ is such that the triangles...
- If |z| = 1 and z ≠ ±1, then all the values of z 1 - z^2 lie on
- Let E^c denote the complement of an event E. Let E, F, G be pairwise independent events with P(G) > 0 and P(E F G) = 0. Then...
- The differential equation dy dx = 1 - y^2 y determines a family of circles with
- Let a, b, c be unit vectors such that a + b + c = 0. Which one of the following is correct?
- Let f(x) = x (1 + x^n)^ 1/n for n ≥ 2 and g(x) = (f f f) _ f occurs n times (x). Then x^ n-2 g(x) ,dx equals
- The letters of the word COCHIN are permuted and all the permutations are arranged in an alphabetical order as in an English...
- Consider the planes 3x − 6y − 2z = 15 and 2x + y − 2z = 5. STATEMENT-1 : The parametric equations of the line of intersection of...
- STATEMENT-1 : The curve y = -x^2 2 + x + 1 is symmetric with respect to the line x = 1. because STATEMENT-2 : A parabola is...
- Let f(x) = 2 + cos x for all real x. STATEMENT-1 : For each real t, there exists a point c in [t, t + π] such that f′(c) = 0....
- Lines L_1 : y − x = 0 and L_2 : 2x + y = 0 intersect the line L_3 : y + 2 = 0 at P and Q, respectively. The bisector of the acute...
- Let f and g be real valued functions defined on interval (−1, 1) such that g″(x) is continuous, g(0) ≠ 0, g′(0) = 0, g″(0) ≠ 0,...
- Two balls, having linear momenta p_1 = p i and p_2 = -p i, undergo a collision in free space. There is no external force acting...
- In a Young's double slit experiment, the separation between the two slits is d and the wavelength of the light is λ. The...
- Under the same reaction conditions, initial concentration of 1.386 mol dm⁻³ of a substance becomes half in 40 seconds and 20...
- A particle P starts from the point z_0 = 1 + 2i, where i = -1 . It moves first horizontally away from origin by 5 units and then...
- Let the function g : (- , ) (- 2 , 2 ) be given by g(u) = 2 ^ -1 (e^u) - 2 . Then, g is