Practice questions
88551 published questions with worked solutions.
- Consider the given data: (a) HCl(g) + 10 H_2O(l) HCl.10H_2O, H = -69.01 kJ mol^ -1 (b) HCl(g) + 40 H_2O(l) HCl.40H_2O, H = -72.79...
- Sea water, which can be considered as a 6 molar (6 M) solution of NaCl, has a density of 2 g mL^ -1 . The concentration of...
- A metal complex with a formula MCl_4.3NH_3 is involved in sp^3d^2 hybridisation. It upon reaction with excess of AgNO_3 solution...
- x mg of Mg(OH)_2 (molar mass = 58) is required to be dissolved in 1.0 L of water to produce a pH of 10.0 at 298 K. The value of x...
- The amount of calcium oxide produced on heating 150 kg limestone (75% pure) is _____ kg. (Nearest integer) Given: Molar mass (in...
- The molar conductance of an infinitely dilute solution of ammonium chloride was found to be 185 S cm^2 mol^ -1 and the ionic...
- The number of solutions of the equation 2 2 + 5 2 = 2 ^3 5 2 in [- 2 , 2 ] is :Not in JEE Main syllabus
- If the orthocenter of the triangle formed by the lines y = x + 1, y = 4x – 8 and y = mx + c is at (3, –1), then m – c is:
- Let a and b be the vectors of the same magnitude such that | a + b |+| a - b | | a + b |-| a - b | = 2 +1. Then | a + b |^2 | a...
- If the area of the region (x, y) : 1 + x^2 y min x + 7, 11 – 3x is A, then 3A is equal to
- Let p be the number of all triangles that can be formed by joining the vertices of a regular polygon P of n sides and q be the...
- If the range of the function f(x) = 5-x x^2-3x+2 , x 1, 2, is (- , ] [ , ), then ^2 + ^2 is equal to :
- If the locus of Z C, such that Re ( z-1 2z+i ) + Re ( z -1 2 z -i ) = 2, is a circle of radius r and center (a, b), then 15ab r^2...
- Let a_n be the nth term of an A.P. If S_n = a_1 + a_2 + a_3 + + a_n = 700, a_6 = 7 and S_7 = 7, then a_n is equal to :
- If the sum of the second, fourth and sixth terms of a G.P. of positive terms is 21 and the sum of its eighth, tenth and twelfth...
- Let the length of a latus rectum of an ellipse x^2 a^2 + y^2 b^2 = 1 be 10. If its eccentricity is the minimum value of the...
- Let y = y(x) be the solution of the differential equation (x^2 + 1) y' - 2xy = (x^4 + 2x^2 + 1) x, y(0) = 1. Then _ -3 ^ 3 y(x)dx...
- Consider the lines L_1 : x - 1 = y - 2 = z and L_2 : x - 2 = y = z - 1. Let the feet of the perpendiculars from the point P(5, 1,...
- The number of real roots of the equation x |x – 2| + 3|x – 3| + 1 = 0 is
- Let the system of equations x + 5y – z = 1 4x + 3y – 3z = 7 24x + y + λz = m, λ, μ ∈ **R**, have infinitely many solutions. Then...