[Download PDF] AP ICET 2017 Paper with Solutions

Instructions

For the following questions answer them individually

Question 111

If p, q are statements then $$\sim (p \leftrightarrow q)$$ is equivalent to

Video Solution

Question 112

If p and q are two statements then the statement $$(p \wedge (\sim q)) \wedge ((\sim p) \wedge q)$$ is a/an

Video Solution

Question 113

On the set $$A = \left\{a, b, c \right\}$$ the relation $$R = \left\{(a, b), (b , a), (a, a)\right\}$$ is

Video Solution

Question 114

If A and B are two sets with 5 and 4 elements respectively, then the number of injective mappings from A to B is

Video Solution

Question 115

If $$E \subseteq R$$ is the maximum possible set on which $$f(x) = \sqrt{x + 2} + \frac{1}{\log_{10}(1 - x)}$$ is defined for $$x \epsilon E$$, then $$E =$$

Video Solution

Question 116

If the intercept between the axes of a line has mid-point at (1, 2) then the equation of the line is

Video Solution

Question 117

The equation of the line through the point of intersection of the lines $$2x + 5y = 9$$ and $$x - 3y = 1$$ and whose distance from the origin is $$\sqrt{5}$$ units is

Video Solution

Question 118

$$\sin 210^\circ + \tan 855^\circ + \tan 45^\circ =$$

Video Solution

Question 119

If tan $$30^\circ$$ and tan $$15^\circ$$ are the roots of the equation $$x^2 + px + q = 0$$ then $$2 + q - p =$$

Video Solution

Question 120

$$u = \frac{1 + \sin \theta}{\cos \theta} \Rightarrow u + \frac{1}{u} =$$

Video Solution

CAT Content

AP ICET 2017

If p, q are statements then $$\sim (p \leftrightarrow q)$$ is equivalent to

If p and q are two statements then the statement $$(p \wedge (\sim q)) \wedge ((\sim p) \wedge q)$$ is a/an

On the set $$A = \left\{a, b, c \right\}$$ the relation $$R = \left\{(a, b), (b , a), (a, a)\right\}$$ is

If A and B are two sets with 5 and 4 elements respectively, then the number of injective mappings from A to B is

If $$E \subseteq R$$ is the maximum possible set on which $$f(x) = \sqrt{x + 2} + \frac{1}{\log_{10}(1 - x)}$$ is defined for $$x \epsilon E$$, then $$E =$$

If the intercept between the axes of a line has mid-point at (1, 2) then the equation of the line is

The equation of the line through the point of intersection of the lines $$2x + 5y = 9$$ and $$x - 3y = 1$$ and whose distance from the origin is $$\sqrt{5}$$ units is

$$\sin 210^\circ + \tan 855^\circ + \tan 45^\circ =$$

If tan $$30^\circ$$ and tan $$15^\circ$$ are the roots of the equation $$x^2 + px + q = 0$$ then $$2 + q - p =$$

$$u = \frac{1 + \sin \theta}{\cos \theta} \Rightarrow u + \frac{1}{u} =$$

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