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For the following questions answer them individually
If p and q are statements then $$\sim(p \vee q)$$ is equivalent to
If $$E_n = \left]\{x \epsilon R: -\frac{1}{n} < x < 0\right\}$$ for $$n = 1, 2, 3, ............ $$ then $$\bigcap_{n=1}^{\infty}E_n =$$
The number of functions from {a, b, c, d, e} into {1,2} is
If $$f(x) = \frac{x - 1}{x + 2}$$; x ≠ -2, then $$f^{-1}(4) =$$
The equation of the line passing through(-4, 3) and parallel to the line joining the points (1, -3) and (-5, 1) is
The equation of a straight line passing through the intersection of the lines x + 2y - 19 = 0 and x - 2y - 3 = 0 and at 5 units distance from(-2, 4) is
$$\sin 0^\circ + \cos 30^\circ - \tan 45^\circ + \cosec 60^\circ + \cot 90^\circ =$$
If $$\sin \theta = -\frac{1}{2}$$ and $$\cot \theta = -\sqrt{3}$$ then the minimum value that $$\theta$$ can take is
$$\sin^2 \frac{\pi}{4} + \sin^2 \frac{3\pi}{4} + \sin^2 \frac{5\pi}{4} + \sin^2 \frac{7\pi}{4} =$$
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