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For the following questions answer them individually
If p, q are statements then $$\sim (p \leftrightarrow q)$$ is equivalent to
If p and q are two statements then the statement $$(p \wedge (\sim q)) \wedge ((\sim p) \wedge q)$$ is a/an
On the set $$A = \left\{a, b, c \right\}$$ the relation $$R = \left\{(a, b), (b , a), (a, a)\right\}$$ is
If A and B are two sets with 5 and 4 elements respectively, then the number of injective mappings from A to B is
If $$E \subseteq R$$ is the maximum possible set on which $$f(x) = \sqrt{x +Â 2} + \frac{1}{\log_{10}(1 - x)}$$Â is defined for $$x \epsilon E$$, then $$E =$$
If the intercept between the axes of a line has mid-point at (1, 2) then the equation of the line is
The equation of the line through the point of intersection of the lines $$2x + 5y = 9$$ and $$x -Â 3y = 1$$ and whose distance from the origin is $$\sqrt{5}$$ units is
If tan $$30^\circ$$ and tan $$15^\circ$$ are the roots of the equation $$x^2 + px + q = 0$$ then $$2 + q - p =$$
$$u = \frac{1 + \sin \theta}{\cos \theta} \Rightarrow u + \frac{1}{u} =$$
