Mathematics Tes...

The area lying in the first quadrant and bounded by the circle x² + y² = 4, the line x =√3 y and the x-axis is

A missile fired from the ground level rises x meters vertically upwards in t seconds, where x = 100t - 25/2 t². The maximum height reached is

The area of the figure bounded by the curves y = | x - 1 | and y = 3 - | x | is

If a parallelepiped is formed by planes drawn through the points (5, 8, 10) and (3, 6, 8) parallel to the coordinate planes, then the length of diagonal of the parallelopiped is:

Period of cot 3 x - cos (4x + 3) is

Three identical dice are rolled. The probability that the same number will appear on each of them is

Let f(x) = [x], then f′(1) = ?

α and β lie between 0 and π/4, cos(α + β) = 12/13 and sin(α - β) = 3/5.

sin 2α =

If n(U) = 20, n(A) = 12, n(B) = 9, n(AB) = 4, where U is the universal set, A and B are subsets of U, then n | (A U B)^o| is equal to