[Download PDF] AP ICET 26th April 2019 Shift-1 Paper with Solutions

Instructions

For the following questions answer them individually

Question 111

$$P \rightarrow (Q \rightarrow P) \Rightarrow $$

Video Solution

Question 112

The negation of the statement $$p \vee (\sim p \wedge q)$$ is

Video Solution

Question 113

If $$A = \left\{(x, y) \epsilon z \times z \mid x^2 + y^2 \leq 16 \right\}$$, then the number of reflexive relations defined on A is

Video Solution

Question 114

If n(A) = 5, then the number of relations on A which are not symmetric is

Video Solution

Question 115

Let $$f$$ be defined on $$[0, 7]$$ and $$g(x) = \mid 2x + 1 \mid$$. Then the domain of $$(fog)(x)$$ is

Video Solution

Question 116

The equation of the straight line passing through (-5, 4) and which makes an intercept of $$\frac{2}{\sqrt{5}}$$ units between the lines $$x + 2y + 1 = 0$$ and $$x + 2y - 1 = 0$$, is

Video Solution

Question 117

The equation of the straight line passing through the point (-2, 3) and which makes intercepts in the ratio 1 : 3 on the coordinate axes, is

Video Solution

Solution

As per the given in the question,

Ratio of intercept $$=\dfrac{1}{3}$$

So, $$x=k$$ and $$y=3k$$

So, the co-ordinates of intersection point on the x and y axis (k,0) and (0,3k)

So, equation of line

$$\Rightarrow (y-0)=\dfrac{3k-0}{0-k}(x-k)$$

$$\Rightarrow y=-3(x-k)$$

Now, this line is passing through the point (-2, 3)

Hence, $$3=-3(-2-k)$$

$$\Rightarrow 3=6+3k$$

$$\Rightarrow k=-1$$

Hence the line equation will be

$$\Rightarrow y=-3x-3$$

$$\Rightarrow 3x+y+3=0$$

Question 118

$$\tan 480^\circ + \sec 510^\circ + \cosec 750^\circ + \cot 765^\circ =$$

Video Solution

Question 119

$$\frac{\sin 150^\circ - 5 \cos 300^\circ + 7 \tan 225^\circ}{\tan 135^\circ + 3 \sin 210^\circ} =$$

Video Solution

Question 120

If $$\sec \theta + \tan \theta = \frac{2}{3}$$, then $$\sin \theta =$$

Video Solution

CAT Content

AP ICET 26th April 2019 Shift-1

$$P \rightarrow (Q \rightarrow P) \Rightarrow $$

The negation of the statement $$p \vee (\sim p \wedge q)$$ is

If $$A = \left\{(x, y) \epsilon z \times z \mid x^2 + y^2 \leq 16 \right\}$$, then the number of reflexive relations defined on A is

If n(A) = 5, then the number of relations on A which are not symmetric is

Let $$f$$ be defined on $$[0, 7]$$ and $$g(x) = \mid 2x + 1 \mid$$. Then the domain of $$(fog)(x)$$ is

The equation of the straight line passing through (-5, 4) and which makes an intercept of $$\frac{2}{\sqrt{5}}$$ units between the lines $$x + 2y + 1 = 0$$ and $$x + 2y - 1 = 0$$, is

The equation of the straight line passing through the point (-2, 3) and which makes intercepts in the ratio 1 : 3 on the coordinate axes, is

$$\tan 480^\circ + \sec 510^\circ + \cosec 750^\circ + \cot 765^\circ =$$

$$\frac{\sin 150^\circ - 5 \cos 300^\circ + 7 \tan 225^\circ}{\tan 135^\circ + 3 \sin 210^\circ} =$$

If $$\sec \theta + \tan \theta = \frac{2}{3}$$, then $$\sin \theta =$$

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