# Recent questions tagged non-gate

1
Which of the following statement(s) is/are correct? Persistence is the term used to describe the duration of phosphorescence. The control electrode is used to turn the electron beam on and off. The electron gun creates a source of electrons which are focused into a narrow beam directed at the face of CRT. All of the above
2
A segment is any object described by GKS commands and data that start with CREATE SEGMENT and Terminates with CLOSE SEGMENT command. What functions can be performed on these segments? Translation and Rotation Panning and Zooming Scaling and Shearing Translation, Rotation, Panning and Zooming
3
Match the following: ...
4
Below are the few steps given for scan-converting a circle using Bresenham’s Algorithm. Which of the given steps is not correct? Compute $d= 3-2r$ (where $r$ is radius) Stop if $x>y$ If $d< 0$, then $d=4x+6$ and $x=x+1$ If $d\geq 0$, then $d=4 \ast(x-y)+10, \: x=x+1$ and $y=y+1$
5
Which of the following is/are side effects of scan conversion? Aliasing Unequal intensity of diagonal lines Overstriking in photographic applications Local or Global aliasing a and b a,b and c a,c and d a,b,c and d
6
Consider a line $AB$ with $A=(0,0)$ and $B=(8,4)$. Apply a simple $DDA$ algorithm and compute the first four plots on this line. $[(0,0),(1,1),(2,1),(3,2)]$ $[(0,0),(1,1.5),(2,2),(3,3)]$ $[(0,0),(1,1),(2,2.5),(3,3)]$ $[(0,0),(1,2),(2,2),(3,2)]$
7
Consider following two rules R$1$ $\text{and}$ R$2$ in logical reasoning in Artificial Intelligence (AI): R$1$: From $\alpha \supset \beta\frac{and \alpha}{Inter \beta }$ is known as Modulus Tollens (MT) R$2$:From $\alpha \supset \beta\frac{and \neg \beta }{Inter \neg\alpha}$ is ... (MP) Only R$1$ is correct. Only R$2$ is correct. Both R$1$ and R$2$ are correct. Neither R$1$ nor R$2$ is correct.
8
Consider the following $AO$ graph: Which is the best node to expand next by AO* algorithm? $A$ $B$ $C$ $B$ and $C$
9
In Artificial Intelligence(AI), what is present in the planning graph? Sequence of levels Literals Variables Heuristic estimates
10
What is the best method to go for the game playing problem? Optimal Search Random Search Heuristic Search Stratified Search
11
Which of the following neural networks uses supervised learning? Multilayer perception Self organizing feature map Hopfield network (A) only (B) only (A) and (B) only (A) and (C) only
12
Unix command to change the case of first three lines of file “shortlist” from lower to upper $\$ \text{tr } ‘[a-z]’ ‘[A-Z]’ \text{ shortlist}$¦$\text{head } – 3\$\text{head} – 3 \text{ shortlist}$ ¦ $\text{tr} ‘[a-z]’ ‘[A-Z]’$ $\$ \text{tr head} – 3 \text{ shortlist } ‘[A-Z]’ ‘[a-z]’\$\text{tr shortlist head } – 3 ‘[a-z]’ ‘[A-Z]’$
13
Match the following $\text{ⅵ}$ ...
14
Consider a sequence $F_{00}$ defined as : $F_{00}\left ( 0 \right )= 1, F_{00}\left ( 1 \right )= 1\\$ $F_{00}\left ( n \right )= \frac{10 * F_{00}\left ( n-1 \right )+100}{F_{00}\left ( n-2 \right )} \text{ for }n\geq 2 \\$ Then what shall be the set of values of ... $\left ( 1,110, 600,1200 \right )$ $\left ( 1, 2, 55, 110, 600, 1200 \right )$ $\left ( 1, 55, 110, 600, 1200 \right )$
1 vote
15
If a focal chord of the parabola $y^2=4ax$ cuts it at two distinct points $(x_1,y_1)$ and $(x_2,y_2)$, then $x_1x_2=a^2$ $y_1y_2=a^2$ $x_1x_2^2=a^2$ $x_1^2x_2=a^2$
16
The equation $5x^2+9y^2+10x-36y-4=0$ represents an ellipse with the coordinates of foci being $(\pm3,0)$ a hyperbola with the coordinates of foci being $(\pm3,0)$ an ellipse with the coordinates of foci being $(\pm2,0)$ a hyperbola with the coordinates of foci being $(\pm2,0)$
1 vote
17
The sum $\dfrac{n}{n^2}+\dfrac{n}{n^2+1^2}+\dfrac{n}{n^2+2^2}+ \cdots + \dfrac{n}{n^2+(n-1)^2} + \cdots \cdots$ is $\frac{\pi}{4}$ $\frac{\pi}{8}$ $\frac{\pi}{6}$ $2 \pi$
1 vote
18
Let $\{f_n(x)\}$ be a sequence of polynomials defined inductively as $f_1(x)=(x-2)^2$ $f_{n+1}(x) = (f_n(x)-2)^2, \: \: \: n \geq 1$ Let $a_n$ and $b_n$ respectively denote the constant term and the coefficient of $x$ in $f_n(x)$. Then $a_n=4, \: b_n=-4^n$ $a_n=4, \: b_n=-4n^2$ $a_n=4^{(n-1)!}, \: b_n=-4^n$ $a_n=4^{(n-1)!}, \: b_n=-4n^2$
19
If $a,b$ are positive real variables whose sum is a constant $\lambda$, then the minimum value of $\sqrt{(1+1/a)(1+1/b)}$ is $\lambda \: – 1/\lambda$ $\lambda + 2/\lambda$ $\lambda+1/\lambda$ None of the above
1 vote
20
Let $x$ be a positive real number. Then $x^2+\pi ^2 + x^{2 \pi} > x \pi+ (\pi + x) x^{\pi}$ $x^{\pi}+\pi^x > x^{2 \pi} + \pi ^{2x}$ $\pi x +(\pi+x)x^{\pi} > x^2+\pi ^2 + x^{2 \pi}$ none of the above
21
Consider the polynomial $x^5+ax^4+bx^3+cx^2+dx+4$ where $a,b,c,d$ are real numbers. If $(1+2i)$ and $(3-2i)$ are two two roots of this polynomial then the value of $a$ is $-524/65$ $524/65$ $-1/65$ $1/65$
22
Consider the following system of equivalences of integers, $x \equiv 2 \text{ mod } 15$ $x \equiv 4 \text{ mod } 21$ The number of solutions in $x$, where $1 \leq x \leq 315$, to the above system of equivalences is $0$ $1$ $2$ $3$
23
The number of real solutions of the equations $(9/10)^x = -3+x-x^2$ is $2$ $0$ $1$ none of the above
1 vote
24
If two real polynomials $f(x)$ and $g(x)$ of degrees $m\: (\geq 2)$ and $n\: (\geq 1)$ respectively, satisfy $f(x^2+1)=f(x)g(x),$ for every $x \in \mathbb{R}$, then $f$ has exactly one real root $x_0$ such that $f’(x_0) \neq 0$ $f$ has exactly one real root $x_0$ such that $f’(x_0) = 0$ $f$ has $m$ distinct real roots $f$ has no real root
1 vote
25
The set of complex numbers $z$ satisfying the equation $(3+7i)z+(10-2i)\overline{z}+100=0$ represents, in the complex plane, a straight line a pair of intersecting straight lines a point a pair of distinct parallel straight lines
26
The limit $\:\:\:\underset{n \to \infty}{\lim} \Sigma_{k=1}^n \begin{vmatrix} e^{\frac{2 \pi i k }{n}} – e^{\frac{2 \pi i (k-1) }{n}} \end{vmatrix}\:\:\:$ is $2$ $2e$ $2 \pi$ $2i$
1 vote
27
The limit $\underset{n \to \infty}{\lim} \left( 1- \frac{1}{n^2} \right) ^n$ equals $e^{-1}$ $e^{-1/2}$ $e^{-2}$ $1$
1 vote
Let $\omega$ denote a complex fifth root of unity. Define $b_k =\sum_{j=0}^{4} j \omega^{-kj},$ for $0 \leq k \leq 4$. Then $\sum_{k=0}^{4} b_k \omega ^k$ is equal to $5$ $5 \omega$ $5(1+\omega)$ $0$
Let $a_n= \bigg( 1 – \frac{1}{\sqrt{2}} \bigg) \cdots \bigg( 1- \frac{1}{\sqrt{n+1}} \bigg), \: \: n \geq1$. Then $\underset{n \to \infty}{\lim} a_n$ equals $1$ does not exist equals $\frac{1}{\sqrt{\pi}}$ equals $0$
Let $X$ be a nonempty set and let $\mathcal{P}(X)$ denote the collection of all subsets of $X$. Define $f: X \times \mathcal{P}(X) \to \mathbb{R}$ by $f(x,A)=\begin{cases} 1 & \text{ if } x \in A \\ 0 & \text{ if } x \notin A \end{cases}$ Then $f(x, A \cup B)$ equals $f(x,A)+f(x,B)$ $f(x,A)+f(x,B)\: – 1$ $f(x,A)+f(x,B)\: – f(x,A) \cdot f(x,B)$ $f(x,A)\:+ \mid f(x,A)\: – f(x,B) \mid$