AP ICET 10th September 2020 Shift-1

Instructions

For the following questions answer them individually

Question 111

If $$p, q, r$$ are three statements, then $$(p \rightarrow (q \rightarrow r))$$ is equivalent to

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Question 112

The contrapositive of the statement $$p \rightarrow q$$ is

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Question 113

Let $$A = \left\{xย โˆˆ โ„ \mid x^2 < 9\right\}$$ and $$B = \left\{xย โˆˆ โ„ \mid 4 < x^2 < 16\right\}$$ then $$A \cap B =$$

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Question 114

If a set A has 3 elements, then the number of reflexive relations that can be defined on A is

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Question 115

For $$x \neq 0$$ define $$f :ย โ„ \rightarrow โ„$$ by $$2f(x) = 3f \left(\frac{1}{x}\right) = x^2$$. Then f(3) =

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Question 116

The y-intercept of the line $$\frac{3y - 7}{4} = \frac{4x + 1}{5}$$

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Question 117

If a line passes through the points (-7, 18) and (32, 5), then the sum of the intercepts made by the line on the coordinate axes is

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Question 118

$$\sin 75^\circ =$$

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Question 119

$$\tan 85^\circ \tan 50^\circ - \tan 85^\circ - \tan 50^\circ =$$

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Question 120

If $$\sec A + \tan A = \frac{1}{5}$$, then the quadrant in which $$\angle A$$ lies is

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