If the points (1, 0), (0, 1) and (x, 8) are collinear, then the value of x is equal to

The equation \[5x^2 + y^2 + y = 8\] represents

If \[f(x) = \sqrt{2x}+\frac{4}{\sqrt{2x}}\], then \[f(2)'\] is equal to

The distance between \[(2, 1, 0)\] and \[2x + y + 2z + 5 = 0\] is

sin 765° is equal to

Let \[ S = \{1, 2, 3, ......10\}\]. The number of subsets of S containing only odd numbers is

The area of the parallelogram with vertices \[(0, 0), (7, 2), (5, 9)\] and \[(12, 11)\] is

The value of \[\left|\sqrt{4+2\sqrt{3}}\right|-\left|\sqrt{4-2\sqrt{3}}\right|\] is

$$\lim_{x\to0}\frac{\sqrt{2+x}-\sqrt{2-x}}{x}$$