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For the following questions answer them individually
The Statement $$(p \rightarrow q) \rightarrow p$$ is equivalent to
If the statement "$$\frac{1}{2}$$ is rational and $$\sqrt{3}$$ is irrational" is denoted by p, then which of the following statement represents $$\sim p$$?
If the number of elements in the sets A, B are respectively 5, 7, then the number of relations that can be defined from A to B is.
If $$f: R \rightarrow R$$ is a function satisfying the condition $$2f(x) - 3f \left(\frac{1}{x}\right) = x^2$$ for any $$x \neq 0$$, then f(3) =
If a set A has 8 elements, then the number of subsets of A having atmost 4 elements is
If a straight line is passing through the points (3, 3) and (7, 6), then the length of the portion of the line intercepted between the coordinate axes is
The equation of a straightline whose slope is 1 and X-intercept is 4, is
The foot of the perpendicular of the point (1, 2) on the line 3x + 4y = 1 is
$$\cos 208^\circ \sin 238^\circ + \sin 152^\circ \cos 122^\circ =$$
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