For the following questions answer them individually
$$P \rightarrow (Q \rightarrow P) \Rightarrow $$
The negation of the statement $$p \vee (\sim p \wedge q)$$ is
If $$A = \left\{(x, y) \epsilon z \times z \mid x^2 + y^2 \leq 16 \right\}$$, then the number of reflexive relations defined on A is
If n(A) = 5, then the number of relations on A which are not symmetric is
Let $$f$$ be defined on $$[0, 7]$$ and $$g(x) = \mid 2x + 1 \mid$$. Then the domain of $$(fog)(x)$$ is
The equation of the straight line passing through (-5, 4) and which makes an intercept of $$\frac{2}{\sqrt{5}}$$ units between the lines $$x + 2y + 1 = 0$$ and $$x + 2y - 1 = 0$$, is
The equation of the straight line passing through the point (-2, 3) and which makes intercepts in the ratio 1 : 3 on the coordinate axes, is
$$\tan 480^\circ + \sec 510^\circ + \cosec 750^\circ + \cot 765^\circ =$$
$$\frac{\sin 150^\circ - 5 \cos 300^\circ + 7 \tan 225^\circ}{\tan 135^\circ + 3 \sin 210^\circ} =$$
If $$\sec \theta + \tan \theta = \frac{2}{3}$$, then $$\sin \theta =$$