JEE Advanced questions
3844 published questions with worked solutions.
- A tetrapeptide has –COOH group on alanine. This produces glycine (Gly), valine (Val), phenyl alanine (Phe) and alanine (Ala), on...
- EDTA^ 4- is ethylenediaminetetraacetate ion. The total number of N–Co–O bond angles in [Co(EDTA)]^ 1- complex ion is
- The total number of lone-pairs of electrons in melamine is
- Let complex numbers α and 1 lie on circles (x - x_0)^2 + (y - y_0)^2 = r^2 and (x - x_0)^2 + (y - y_0)^2 = 4r^2, respectively. If...
- Four persons independently solve a certain problem correctly with probabilities 1 2 , 3 4 , 1 4 , 1 8 . Then the probability that...
- Let f : [ 1 2 , 1 ] R (the set of all real numbers) be a positive, non-constant and differentiable function such that f'(x) <...
- The number of points in (−∞, ∞), for which x^2 - x x - x = 0, is
- The area enclosed by the curves y = x + x and y = | x - x| over the interval [0, 2 ] is
- A curve passes through the point (1, 6 ). Let the slope of the curve at each point (x, y) be y x + ( y x ), x > 0. Then the...
- The value of ( _ n=1 ^ 23 ^ -1 (1 + _ k=1 ^ n 2k ) ) is
- Perpendiculars are drawn from points on the line x + 2 2 = y + 1 -1 = z 3 to the plane x + y + z = 3. The feet of perpendiculars...
- Let PR = 3 i + j - 2 k and SQ = i - 3 j - 4 k determine diagonals of a parallelogram PQRS and PT = i + 2 j + 3 k be another...
- Let S_n = _ k=1 ^ 4n (-1)^ k(k+1) 2 k^2. Then S_n can take value(s)
- For 3 × 3 matrices M and N, which of the following statement(s) is (are) **NOT** correct ?
- Let f(x) = x x, x > 0. Then for all natural numbers n, f'(x) vanishes at
- A rectangular sheet of fixed perimeter with sides having their lengths in the ratio 8 : 15 is converted into an open rectangular...
- A line l passing through the origin is perpendicular to the lines l_1 : (3 + t) i + (-1 + 2t) j + (4 + 2t) k, - < t < l_2 : (3 +...
- The coefficients of three consecutive terms of (1 + x)^ n+5 are in the ratio 5 : 10 : 14. Then n =
- A pack contains n cards numbered from 1 to n. Two consecutive numbered cards are removed from the pack and the sum of the numbers...
- A vertical line passing through the point (h, 0) intersects the ellipse x^2 4 + y^2 3 = 1 at the points P and Q. Let the tangents...