JEE Advanced questions
3844 published questions with worked solutions.
- Let S be the set of all twice differentiable functions f from R to R such that d^2f dx^2 (x) > 0 for all x (-1, 1). For f S, let...
- For x R , let ^ -1 (x) (- 2 , 2 ). Then the minimum value of the function f: R R defined by f(x) = _0^ x ^ -1 x e^ (t - t) 1 + t^...
- For x R , let y(x) be a solution of the differential equation (x^2 - 5) dy dx - 2xy = -2x(x^2 - 5)^2 such that y(2) = 7. Then the...
- Let X be the set of all five digit numbers formed using 1,2,2,2,4,4,0. For example, 22240 is in X while 02244 and 44422 are not...
- Let R = pmatrix a & 3 & b c & 2 & d 0 & 5 & 0 pmatrix : a, b, c, d 0, 3, 5, 7, 11, 13, 17, 19 . Then the number of invertible...
- Let C_1 be the circle of radius 1 with center at the origin. Let C_2 be the circle of radius r with center at the point A = (4,...
- Young's modulus of elasticity Y is expressed in terms of three derived quantities, namely, the gravitational constant G, Planck's...
- A particle of mass m is moving in the xy-plane such that its velocity at a point (x, y) is given as v = (y x + 2x y ), where is a...
- An ideal gas is in thermodynamic equilibrium. The number of degrees of freedom of a molecule of the gas is n. The internal energy...
- The electric field associated with an electromagnetic wave propagating in a dielectric medium is given by E = 30(2 x + y ) [2 (5...
- A string of length 1 m and mass 2 10^ -5 kg is under tension T. When the string vibrates, two successive harmonics are found to...
- In a radioactive decay process, the activity is defined as A = - dN dt , where N(t) is the number of radioactive nuclei at time...
- Consider the following statements related to colloids. (I) Lyophobic colloids are **not** formed by simple mixing of dispersed...Not in JEE Main or NEET syllabus
- Among [ I _3]^+, [ SiO _4]^ 4- , SO _2 Cl _2, XeF _2, SF _4, ClF _3, Ni(CO) _4, XeO _2 F _2, [ PtCl _4]^ 2- , XeF _4, and SOCl...
- Consider the following molecules: Br _3 O _8, F _2 O , H _2 S _4 O _6, H _2 S _5 O _6, and C _3 O _2. Count the number of atoms...
- For He ^+, a transition takes place from the orbit of radius 105.8 pm to the orbit of radius 26.45 pm. The wavelength (in nm) of...
- 50 mL of 0.2 molal urea solution (density = 1.012 g mL^ -1 at 300 K) is mixed with 250 mL of a solution containing 0.06 g of...
- The reaction of 4-methyloct-1-ene (**P**, 2.52 g) with HBr in the presence of ( C _6 H _5 CO )_2 O _2 gives two isomeric bromides...
- Let f(x) be a continuously differentiable function on the interval (0, ) such that f(1) = 2 and _ t x t^ 10 f(x) - x^ 10 f(t) t^9...
- A student appears for a quiz consisting of only true-false type questions and answers all the questions. The student knows the...