Practice questions
88551 published questions with worked solutions.
- If solubility product of Zr_3(PO_4)_4 is denoted by K_ sp and its molar solubility is denoted by S, then which of the following...
- For silver, C_p (JK^ -1 mol^ -1 ) = 23 + 0.01 T. If the temperature (T) of 3 moles of silver is raised from 300 K to 1000 K at 1...
- Maltose on treatment with dilute HCl gives:
- Which of the following amines can be prepared by Gabriel phthalimide reaction?
- 5x 2 x 2 ,dx is equal to (where c is a constant of integration)
- The equation of a plane containing the line of intersection of the planes 2x - y - 4 = 0 and y + 2z - 4 = 0 and passing through...
- Let y = y(x) be the solution of the differential equation, (x^2+1)^2 dy dx + 2x(x^2+1)y = 1 such that y(0) = 0. If a ,y(1) = 32 ,...
- If f(x) = 2 - x x 2 + x x and g(x) = _e x, (x > 0) then the value of the integral _ - /4 ^ /4 g(f(x)) ,dx is:
- The sum of the squares of the lengths of the chords intercepted on the circle, x^2 + y^2 = 16, by the lines, x + y = n, n ∈ N,...
- The sum of the solutions of the equation | x - 2| + x ( x - 4) + 2 = 0, (x > 0) is equal to:
- The shortest distance between the line y = x and the curve y^2 = x - 2 is:
- The sum of the co-efficients of all even degree terms in x in the expansion of (x + x^3-1 )^6 + (x - x^3-1 )^6, (x > 1) is equal...
- A point on the straight line, 3x + 5y = 15 which is equidistant from the coordinate axes will lie only in:
- Let O(0, 0) and A(0, 1) be two fixed points. Then the locus of a point P such that the perimeter of ΔAOP is 4, is:
- If 2y = ( ^ -1 ( 3 x + x x - 3 x ) )^2, x (0, 2 ) then dy dx is equal to:
- All possible numbers are formed using the digits 1, 1, 2, 2, 2, 2, 3, 4, 4 taken all at a time. The number of such numbers in...
- If the tangents on the ellipse 4x^2 + y^2 = 8 at the points (1, 2) and (a, b) are perpendicular to each other, then a^2 is equal...
- _ x 0 ^2x 2 - 1+ x equals:
- If ( + ) = 3 5 , ( - ) = 5 13 and 0 < , < 4 , then tan(2α) is equal to:
- The sum of the series 2 ^ 20 C_0 + 5 ^ 20 C_1 + 8 ^ 20 C_2 + 11 ^ 20 C_3 + + 62 ^ 20 C_ 20 is equal to: