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For the following questions answer them individually
Which one of the following statements is true?
Which one of the following statements is a tautology?
At a party in which each person drinks either coffee or tea, 60 persons drink tea, 50 drink coffee and 20 drink both coffee and tea. How many persons are there in the party?
The number of bijective functions from the set {1,2,3} onto the set {a, b, c, d} is
The domain of the function $$f(x) = \sqrt{\log_{10}(x^{2}-5x + 7)}$$
The sum of the squares of the length of the intercepts made by the straight line $$13x - 15y - 195 = 0$$ between the coordinate axes is
The line L passes through the point (2, 3) and makes an angle $$45^{\circ}$$ with $$x$$-axis. Then the
equation of the line passing through the point (1, 2) and perpendicular to the line L, is
$$\tan 960^{\circ} + \cos 510^{\circ} + \sec 750^{\circ} =$$
$$\tan\frac{\pi}{24}.\tan\frac{3\pi}{24}.\tan\frac{5\pi}{24}.\tan\frac{6\pi}{24}.\tan\frac{7\pi}{24}.\tan\frac{8\pi}{24}.\tan\frac{9\pi}{24}.\tan\frac{11\pi}{24}$$
If $$x = \tan \theta + \sin \theta$$ and $$y = \tan \theta - \sin \theta$$ then $$(x^{2} - y^{2})^{2} =$$
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