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For the following questions answer them individually
If p, q, r are 3 statements then $$ \sim(( \sim p \rightarrow q) \wedge (\sim p \rightarrow r))$$ is equivalent to
If p and q are two statements then which of the following is a tautology?
If a set A has 5 elements then the number of nonempty proper subsets of A is
Let n(A) = m, and n(B) = n. Then the total number of nonempty relations that can be defined from A to B is
Let $$f : R \rightarrow R$$ be a function satisfying the condition $$2f(x)-3f\left(\frac{1}{x}\right)=x^{2}$$ for all $$x \neq 0$$. Then $$f(3)-f\left(\frac{1}{3}\right)=$$
The sum of the intercepts made by the line passing through the points (3, 4) and (5, -2) on the coordinate axes is
The equation of the straight line passing through the point (-4, 3) and is perpendicular to the line segment joining the points (1 -3) and (-5, 1)
If $$\theta$$ is not in the third quadrant and $$\cos \theta = \frac{-4}{5}$$, then $$\frac{3\tan \theta + 5\cosec \theta}{4\cot \theta + 3 \sec \theta}=$$
$$\cos 208^{\circ} \sin 238^{\circ} + \sin 152^{\circ} \cos 122^{\circ} =$$
If $$A + B + C= 180^{\circ}$$, then $$\frac{\tan A + \tan B + \tan C}{\tan A \tan B \tan C}= $$
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