TS ICET 1st Oct 2020 Shift-1

Instructions

For the following questions answer them individually

Question 111

The converse of the following statement is
'If a triangle is equilateral then it i5 isosceles'

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Question 112

Which one of the following statements is true?

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Question 113

If A, B, C are sets, then $$(A-B) - (B-C) =$$

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Question 114

For $$x \neq -1$$, define $$\frac{x - 1}{x + 2}$$, then $$f(x) = \frac{f(x) - f(y)}{1+f(x)f(y)}$$

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Question 115

If $$f : R \rightarrow R$$ and $$g : R \rightarrow R$$ are functions defined by $$f(x) = 3x - 2$$ and $$g(x) = x^{2} + 1$$ then $$(gof^{-1})(2)= $$

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Question 116

The equation of a line perpendicular to $$y = 3x + 1$$ and passing through (1, 1) is

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Question 117

A line makes intercepts a and b on the coordinate axes such that a+b = 5 and ab = 6
The equation of such a line is

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Question 118

$$\cot (-840^{\circ}) + \cosec (330^{\circ}) + \sec (1020^{\circ}) - \sin (-1320^{\circ}) =$$

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Question 119

$$\tan^{2} \frac{\pi}{3} + \cot^{2} \frac{\pi}{4} - \sec^{2} \frac{\pi}{3} + 8\cos^{2}\frac{\pi}{6}=$$

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Question 120

If $$A + B =\frac{\pi}{4}$$, then $$(1 + \tan A)(1 + \tan B) =$$

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