AP ICET 11th September 2020 Shift-1

Instructions

For the following questions answer them individually

Question 111

If the truth values of the propositions p, q and rare respectively F, T and F, then the truth value of $$\left((\sim p \vee q)\wedge r \right)$$ is equivalent to the truth value of (Here '$$\sim$$' represent negation)

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Question 112

IF $$p \rightarrow (\sim p \wedge q)$$ is false, then the truth values of statements p and g are respectively

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Question 113

If A and B are sets, then which of the following are true?

A. $$A - (A - B) = (A \cup B) \cap (A \cap B)$$
B. $$(A \cap B) \cup (A \cap \overline {B}) \cup (\overline {A} \cap B) = A \cup B$$
C. $$\overline {A \cup B} = \overline {A} \cup \overline {B}$$

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Question 114

If A = { a, b, c, d}, then a transitive relation on A among the following is

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Question 115

If $$f:ℝ \rightarrow B$$, defined by $$f(x) = x^{2} - 5x + 6$$ is onto, then B =

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Question 116

If a straight line is passing through the points (8, -9) and (9,8), then tl1e intercept form of its equation is

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Question 117

The sum of the intercepts made by the straight line passing through the points (1,5) and (2, 7) on the coordinate axes is

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Question 118

If $$\sqrt{3} \sec 510^{\circ} - \tan 480^{\circ} + \cot 765^{\circ} = \sqrt{x} - y$$, then the quadratic equation with roots $$\sqrt{x} - y$$ and $$\sqrt{x} + y$$

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Question 119

$$\frac{\sin 210^{\circ} . \cos 585^{\circ}}{\cosec 750^{\circ}}$$

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Question 120

If $$\sec \theta + \tan \theta = \frac{2}{3}$$, then $$\sin \theta = $$

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