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For the following questions answer them individually
If a set A has 8 elements, B has 6 elements and $$A \cup B$$ has 10 elements, then the number of all subsets of $$A \cap B$$ is
The function $$f: N \rightarrow N$$ defined by $$f(x) = 2x + 7$$ for all $$n \epsilon N$$, then f is
If a line passing through the points (3, -5) and (7, 1) make intercepts a, b on the coordinate axes, then $$a^2 + b^2 =$$
The perpendicular distance from origin to the line passing through the point (15, -5) and making an angle $$135^\circ$$ with positive x-axis is
If $$\sin \theta = \frac{1}{2}$$ and $$\theta \epsilon \left[\frac{\pi}{2}, \frac{3 \pi}{2}\right]$$, then $$4 \theta = $$
$$\frac{\sin 15^\circ - 5 \cos 300^\circ + 7 \tan 225^\circ}{\tan 135^\circ + 3 \sin 210^\circ} = $$
$$\sin^2 (\theta - 45)^\circ + \sin^2 (\theta + 15)^\circ - \sin^2 (\theta - 15)^\circ =$$
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