9 answers
5
A graph $G=(V,E)$ satisfies $\mid E \mid \leq 3 \mid V \mid - 6$. The min-degree of $G$ is defined as $\min_{v\in V}\left\{ \text{degree }(v)\right \}$. Therefore, min-d...
5 answers
6
Which of the following graphs has an Eulerian circuit?Any $k$-regular graph where $k$ is an even number.A complete graph on $90$ vertices.The complement of a cycle on $25...
1 answer
14
3 answers
16
What is the output of the following program?main( ){int i=4, z=12;if( i=5 || z 50)printf(“ Gate2017”);elseprintf(“ Gateoverflow”);}Gate2017Gateoverflowsyntax err...
0 answers
21
7 answers
25
Given $i = \sqrt{-1}$, what will be the evaluation of the definite integral $\int \limits_0^{\pi/2} \dfrac{\cos x +i \sin x} {\cos x - i \sin x} dx$ ?$0$$2$$-i$$i$
6 answers
26
Consider the following relations $A, B$ and $C:$$$\overset{\text{A}}{\begin{array}{|c|c|c|} \hline \text {ID} & \text {Name} & \text {Age} \\\hline\text{12}& \text{Arun}...
4 answers
28
Let the function$$f(\theta) = \begin{vmatrix} \sin\theta & \cos\theta & \tan\theta \\ \sin(\frac{\pi}{6}) & \cos(\frac{\pi}{6}) & \tan(\frac{\pi}{6}) & \\ \sin(\frac{\pi...