TS ICET 23rd May 2019 Shift-2

Instructions

For the following questions answer them individually

Question 111

For any two statements p, q, the contrapositive of $$p \Rightarrow q$$ is

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Question 112

For any two statements p, g the converse of $$\sim p \Rightarrow q $$ is

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Question 113

If a N denotes the set $$\left\{ax : x \epsilon N \right\}$$ then $$3N \cap 7N =$$

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Question 114

If $$R = \left\{(a, b) \epsilon R^{2} : a - b + \sqrt{2}\right\}$$ is irrational then the relation R on $$R^{2}$$ is:

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Question 115

If f(1) = 1 and $$f(n) = 2 \sum_{k-1}^{n-1} f(k),(n > 1)$$ then $$\sum_{k-1}^{m} f(k)$$ =

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Question 116

The sum of the intercepts made by the lme 7x+2y=28 on the coordinate axes is

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Question 117

A line l passing through the point (1, -2) is perpendicularto the line x+2y+1=0. Thenthe point of intersection of 1 and x + 2y + 1 = 0 1s:

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Question 118

$$\cos(A + 45^\circ) + \sin(A - 45^\circ) =$$

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Question 119

$$\cos^{2} A = \sin A \tan A \Rightarrow \cot^{6} A - \cot^{2} A =$$

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Question 120

$$\frac{\cos \theta}{7} = \frac{\sin \theta}{6} \Rightarrow 7 \cos 2 \theta + 6 \sin 2 \theta = $$

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