Practice questions
88551 published questions with worked solutions.
- The group number, number of valence electrons, and valency of an element with atomic number 15, respectively, are:
- 5 moles of AB_2 weigh 125 10^ -3 kg and 10 moles of A_2B_2 weigh 300 10^ -3 kg. The molar mass of A (M_A) and molar mass of B...
- An example of a disproportionation reaction is:
- Given: Co^ 3+ + e^- → Co^ 2+ ; E° = +1.81 V; Pb^ 4+ + 2e^- → Pb^ 2+ ; E° = +1.67 V; Ce^ 4+ + e^- → Ce^ 3+ ; E° = +1.61 V; Bi^ 3+...
- The integral 2x^3 - 1 x^4 + x dx is equal to: (Here C is a constant of integration)
- For x ∈ (0, 3/2), let f(x) = x, g(x) = tan x and h(x) = 1 - x^2 1 + x^2 . If φ(x) = ((hof)og)(x), then ( 3 ) is equal to:
- If _0^ /2 x x + x dx = m( + n), then m · n is equal to:
- If α and β are the roots of the equation 375x^2 - 25x - 2 = 0, then _ n _ r=1 ^n ^r + _ n _ r=1 ^n ^r is equal to:
- The number of solutions of the equation 1 + ^4x = ^23x, x [- 5 2 , 5 2 ] is:Not in JEE Main syllabus
- The equation |z − i| = |z − 1|, i = -1 , represents:
- If e^y + xy = e, the ordered pair ( dy dx , d^2y dx^2 ) at x = 0 is equal to:
- The number of ways of choosing 10 objects out of 31 objects of which 10 are identical and the remaining 21 are distinct, is:
- If m is the minimum value of k for which the function f(x) = x kx - x^2 is increasing in the interval [0, 3] and M is the maximum...
- If the angle of intersection at a point where the two circles with radii 5 cm and 12 cm intersect is 90°, then the length (in cm)...
- The coefficient of x^ 18 in the product (1 + x)(1 - x)^ 10 (1 + x + x^2)^9 is:
- Consider the differential equation, y^2dx + (x - 1y )dy = 0. If value of y is 1 when x = 1, then the value of x for which y = 2,...
- If the area (in sq. units) of the region (x, y) : y^2 4x, x + y ≤ 1, x ≥ 0, y ≥ 0 is a 2 + b, then a − b is equal to:
- If the data x_1, x_2, , x_ 10 is such that the mean of first four of these is 11, the mean of the remaining six is 16 and the sum...
- If A is a symmetric matrix and B is a skew-symmetric matrix such that A + B = bmatrix 2 & 3 5 & -1 bmatrix , then AB is equal to:
- If the normal to the ellipse 3x^2 + 4y^2 = 12 at a point P on it is parallel to the line, 2x + y = 4 and the tangent to the...