TS ICET 30th September 2020 Shift-1

Instructions

For the following questions answer them individually

Question 111

What is the contrapositive of the following statement?
'If two triangles are congruent, then they are similar'

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Question 112

When is the statement $$(\sim p) \wedge q$$ is true?

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Question 113

In a group of athlete in a school, 21 are on basket ball team, 26 are on hockey team and 29 are on foot ball team. If 14 play hockey and basket ball, 12 play foot ball and basket ball, 15 play hockey and foot ball and 8 play all the three how many play only foot ball?

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Question 114

If the function given by $$f(x) = x+2$$ with domain $$\left\{x : 2 \leq x \leq 5\right\}$$, then the intervals of domain and range of $$f^{-1}$$ are respectively

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Question 115

If $$A = \left\{1, 2, 3 \right\}$$ and R is the relation given by
   $$R = \left\{ (1, 1), (2, 2), (3, 3), (1, 2), (2, 1) \right\}$$, then

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Question 116

If A = (2, 3) and B = (4, 5) then slope of line AB is

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Question 117

Equation of line which is parallel to $$2x + 3y = 4$$ is

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Question 118

If $$13 \sin \theta = 12$$ and $$\theta$$ is acute then $$\frac{\cosec \theta + \cot \theta}{\tan \theta + \sec \theta} =$$

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Question 119

$$\sqrt{\frac{1+\cos \theta}{1-\cos \theta}}$$ = _____

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Question 120

$$\sin A + \sin B = $$

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