JEE Advanced questions
829 published questions with worked solutions.
- The trace of a square matrix is defined to be the sum of its diagonal entries. If A is a 2 2 matrix such that the trace of A is 3...
- Let the functions f: (-1, 1) R and g: (-1, 1) (-1, 1) be defined by f(x) = |2x - 1| + |2x + 1| and g(x) = x - [x], where [x]...
- The value of the limit _ x 2 4 2 ( 3x + x) (2 2x 3x 2 + 5x 2 ) - ( 2 + 2 2x + 3x 2 ) is _____
- Let a and b be positive real numbers such that a > 1 and b < a. Let P be a point in the first quadrant that lies on the hyperbola...
- Let , , , be real numbers such that ^2 + ^2 + ^2 0 and + = 1. Suppose the point (3, 2, -1) is the mirror image of the point (1,...
- Let a and b be positive real numbers. Suppose PQ = a i + b j and PS = a i - b j are adjacent sides of a parallelogram PQRS. Let u...
- For nonnegative integers s and r, let s r = cases s! r!(s-r)! & if r s, 0 & if r > s. cases For positive integers m and n, let...
- An engineer is required to visit a factory for exactly four days during the first 15 days of every month and it is mandatory that...
- In a hotel, four rooms are available. Six persons are to be accommodated in these four rooms in such a way that each of these...
- Let the function f: (0, ) R be defined by f( ) = ( + )^2 + ( - )^4. Suppose the function f has a local minimum at precisely when...
- A heavy nucleus Q of half-life 20 minutes undergoes alpha-decay with probability of 60% and beta-decay with probability of 40%....
- A particle of mass M = 0.2 kg is initially at rest in the xy-plane at a point (x = -l, y = -h), where l = 10 m and h = 1 m. The...
- An -particle (mass 4 amu) and a singly charged sulfur ion (mass 32 amu) are initially at rest. They are accelerated through a...
- A small object is placed at the center of a large evacuated hollow spherical container. Assume that the container is maintained...
- The calculated spin only magnetic moments of [ Cr(NH _3)_6]^ 3+ and [ CuF _6]^ 3- in BM, respectively, are (Atomic numbers of Cr...
- The correct statement(s) related to colloids is(are)
- The correct statement(s) related to the metal extraction processes is(are)
- The maximum number of possible isomers (including stereoisomers) which may be formed on mono-bromination of...
- The total number of possible isomers for [ Pt(NH _3)_4 Cl _2] Br _2 is _____.
- Consider a triangle whose two sides lie on the x-axis and the line x + y + 1 = 0. If the orthocenter of is (1, 1), then the...