JEE Advanced questions
1003 published questions with worked solutions.
- Solubility product constants (K_ sp ) of salts of types MX, MX_2 and M_3X at temperature 'T' are 4.0 10^ -8 , 3.2 10^ -14 and 2.7...
- STATEMENT-1 : Aniline on reaction with NaNO_2/HCl at 0 °C followed by coupling with β-naphthol gives a dark blue coloured...
- STATEMENT-1 : [Fe(H_2O)_5NO]SO_4 is paramagnetic. and STATEMENT-2 : The Fe in [Fe(H_2O)_5NO]SO_4 has three unpaired electrons.
- STATEMENT-1 : The geometrical isomers of the complex [M(NH_3)_4Cl_2] are optically inactive. and STATEMENT-2 : Both geometrical...
- Given that the abundances of isotopes ⁵⁴Fe, ⁵⁶Fe and ⁵⁷Fe are 5%, 90% and 5%, respectively, the atomic mass of Fe is
- The Henry's law constant for the solubility of N_2 gas in water at 298 K is 1.0 10^5 atm. The mole fraction of N_2 in air is 0.8....
- The reaction of P_4 with X leads selectively to P_4O_6 . The X is
- Among cellulose, poly(vinyl chloride), nylon and natural rubber, the polymer in which the intermolecular force of attraction is...
- The correct statement(s) about the compound H_3C(HO)HC - CH = CH - CH(OH)CH_3 (X) is(are)
- Let P(3, 2, 6) be a point in space and Q be a point on the line r = ( i - j + 2 k) + (-3 i + j + 5 k). Then the value of μ for...
- Tangents drawn from the point P(1, 8) to the circle x^2 + y^2 - 6x - 4y - 11 = 0 touch the circle at the points A and B. The...
- Let f be a non-negative function defined on the interval [0, 1]. If _0^x 1 - (f'(t))^2 ,dt = _0^xf(t) ,dt, 0 x 1, and f(0) = 0,...
- Let z = x + iy be a complex number where x and y are integers. Then the area of the rectangle whose vertices are the roots of the...
- The line passing through the extremity A of the major axis and extremity B of the minor axis of the ellipse x^2 + 9y^2 = 9 meets...
- If a, b, c and d are unit vectors such that ( a b) ( c d) = 1 and a c = 1 2 , then
- The number of seven digit integers, with sum of the digits equal to 10 and formed by using the digits 1, 2 and 3 only, is
- Let L = _ x 0 a - a^2 - x^2 - x^2 4 x^4 , a > 0. If L is finite, then
- In a triangle ABC with fixed base BC, the vertex A moves such that B + C = 4 ^2 A 2 . If a, b and c denote the lengths of the...
- If ^4x 2 + ^4x 3 = 1 5 , then
- A block of base 10 cm × 10 cm and height 15 cm is kept on an inclined plane. The coefficient of friction between them is 3 . The...