[Download PDF] TS ICET 19th August 2021 Shift-2 Paper with Solutions

Instructions

For the following questions answer them individually

Question 111

If p, q, r are 3 statements then $$ \sim(( \sim p \rightarrow q) \wedge (\sim p \rightarrow r))$$ is equivalent to

Video Solution

Question 112

If p and q are two statements then which of the following is a tautology?

Video Solution

Question 113

If a set A has 5 elements then the number of nonempty proper subsets of A is

Video Solution

Question 114

Let n(A) = m, and n(B) = n. Then the total number of nonempty relations that can be defined from A to B is

Video Solution

Question 115

Let $$f : R \rightarrow R$$ be a function satisfying the condition $$2f(x)-3f\left(\frac{1}{x}\right)=x^{2}$$ for all $$x \neq 0$$. Then $$f(3)-f\left(\frac{1}{3}\right)=$$

Video Solution

Question 116

The sum of the intercepts made by the line passing through the points (3, 4) and (5, -2) on the coordinate axes is

Video Solution

Question 117

The equation of the straight line passing through the point (-4, 3) and is perpendicular to the line segment joining the points (1 -3) and (-5, 1)

Video Solution

Question 118

If $$\theta$$ is not in the third quadrant and $$\cos \theta = \frac{-4}{5}$$, then $$\frac{3\tan \theta + 5\cosec \theta}{4\cot \theta + 3 \sec \theta}=$$

Video Solution

Question 119

$$\cos 208^{\circ} \sin 238^{\circ} + \sin 152^{\circ} \cos 122^{\circ} =$$

Video Solution

Question 120

If $$A + B + C= 180^{\circ}$$, then $$\frac{\tan A + \tan B + \tan C}{\tan A \tan B \tan C}= $$

Video Solution

CAT Content

TS ICET 19th August 2021 Shift-2

If p, q, r are 3 statements then $$ \sim(( \sim p \rightarrow q) \wedge (\sim p \rightarrow r))$$ is equivalent to

If p and q are two statements then which of the following is a tautology?

If a set A has 5 elements then the number of nonempty proper subsets of A is

Let n(A) = m, and n(B) = n. Then the total number of nonempty relations that can be defined from A to B is

Let $$f : R \rightarrow R$$ be a function satisfying the condition $$2f(x)-3f\left(\frac{1}{x}\right)=x^{2}$$ for all $$x \neq 0$$. Then $$f(3)-f\left(\frac{1}{3}\right)=$$

The sum of the intercepts made by the line passing through the points (3, 4) and (5, -2) on the coordinate axes is

The equation of the straight line passing through the point (-4, 3) and is perpendicular to the line segment joining the points (1 -3) and (-5, 1)

If $$\theta$$ is not in the third quadrant and $$\cos \theta = \frac{-4}{5}$$, then $$\frac{3\tan \theta + 5\cosec \theta}{4\cot \theta + 3 \sec \theta}=$$

$$\cos 208^{\circ} \sin 238^{\circ} + \sin 152^{\circ} \cos 122^{\circ} =$$

If $$A + B + C= 180^{\circ}$$, then $$\frac{\tan A + \tan B + \tan C}{\tan A \tan B \tan C}= $$

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