For the following questions answer them individually
For $$\triangle ABC$$ with vertices A(4, 2), B(6, 5) and C(1, 4) the length of the median through A is
If A (k, -3), B (2, -5) and C (-1, -8) lie on a line, then AB : BC =
For statements p and q, the tautology among the following is
If p and q are statements, then the inverse of $$p \rightarrow q$$ is
If $$I_k = \left\{x \epsilon R: 0 < x < \frac{1}{k}\right\}$$ for k = 1, 2, 3, ....... then $$\bigcap_{k=1}^{\infty}I_k = $$
If $$f: R \rightarrow R$$ and $$g : R \rightarrow R$$ are defined by $$f(x) = 2^x$$ and $$g(x) = x^2$$ for each $$x \epsilon R$$, then
$$\left\{x \epsilon R : (fog)(x) = (gof)(x)\right\} =$$
The length of the line segment intercepted between the axes by the line joining (6, -4) and (-3, 8) is
The angle between the lines 2x + 3y = 5 and 2(x - 1) + 3(2 + y) = 6 is