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For the following questions answer them individually
For two statements p, q, it is given that $$p \rightarrow ((\sim p) \vee q)$$ is false, then the truth values of p and q are respectively
Let p, q be two statements. Then the statement $$(\sim p) \vee (p \wedge q)$$ is equivalent to
If $$1 \leq a \leq 100$$ and $$A = \left\{a \mid gcd (a, 100) = 1\right\}$$, then the number of elements in A is
Let $$f(x) = \begin{cases}x & if & x \epsilon Q\\1-x & if & x \epsilon R-Q\end{cases}$$ Where Q is the set of all rational numbers. Then f is
Suppose A and B are two sets. Then a set, among the following, which is not equal to $$A \cup B$$, in general, is
If the lines $$3x - ky + 4 = 0$$ and $$4x + y + 2 = 0$$ are perpendicular to each other, then $$k^2 - 12k + 4 =$$
The length of the linc segment intercepted between the axes by the line joining (6, -4) and (-3, 8) is
$$\tan \theta = \frac{5}{12} \Rightarrow \frac{5 \sin \theta + 4 \cos \theta}{4 \sin \theta + 5 \cos \theta} =$$
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