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Most answered questions in Engineering Mathematics

5 votes
1 answer
3751
GATE Overflow | Mock GATE | Test 1 | Question: 51
... given adjacency matrix representation of a graph containing $7$ nodes (namely A , B, C, D, E, F, G). The Chromatic number of the given graph is?
$\begin{array}{|c|c|c|c|c|c|c|} \hline 0 & 1 & 1 & 0 & 1 & 1 & 0 \\ \hline 1 & 0 & 0 & 1 & 1 & 0 & 1 \\ \hline 1& 0 & 0 & 1 & 1 & 1 & 0 \\ \hline 0 & 1 & 1 & 0 & 1 & 0 & ...
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4 votes
1 answer
3752
GATE Overflow | Mock GATE | Test 1 | Question: 52
$\begin{bmatrix} 2 & 2 & 1 \\ 1 & 3 & 1 \\ 1 & 2 & 2 \end{bmatrix}$ For the above given matrix $A,$ $A^3 -7A^2 +10A = $ $5I+A$ $5I-A$ $A-5I$ $6I$
$\begin{bmatrix} 2 & 2 & 1 \\ 1 & 3 & 1 \\ 1 & 2 & 2 \end{bmatrix}$For the above given matrix $A,$$A^3 -7A^2 +10A = $$5I+A$$5I-A$$A-5I$$6I$
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0 votes
1 answer
3754
Limits
What could be the answer to these questions on limits? Exact 0 raised to exact 0 Exact 0 raised to tends to 0 Tends to 0 raised to exact 0 Tends to 0 raised to tends to 0
What could be the answer to these questions on limits? Exact 0 raised to exact 0Exact 0 raised to tends to 0Tends to 0 raised to exact 0Tends to 0 raised to tends to 0
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0 votes
1 answer
3755
combinatorics
What is the sum of the terms in the nth bracket of the series (1), (2,3,4), (5,6,7,8,9) …? (2n-1)^2 (4n+n-1)^3 (n-1)^3+n^3 n^3+(n+1)^3
What is the sum of the terms in the nth bracket of the series (1), (2,3,4), (5,6,7,8,9) …?(2n-1)^2(4n+n-1)^3(n-1)^3+n^3n^3+(n+1)^3
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0 votes
1 answer
3756
Integration
If n is a positive integer, then $\int_{0}^{\pi} \frac{sin(2nx)}{sinx} dx$
If n is a positive integer, then $$\int_{0}^{\pi} \frac{sin(2nx)}{sinx} dx$$
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0 votes
1 answer
3758
probability
50 % has family 3 children ,30 % of family has 2 children ,20 % of family has 1 children . Find probability P(child belongs to family of 2 children) ?
50 % has family 3 children ,30 % of family has 2 children ,20 % of family has 1 children .Find probability P(child belongs to family of 2 children) ?
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1 votes
1 answer
3760
engineering maths
Let $A=\begin{bmatrix} 2\\-4 \\7 \end{bmatrix}.\begin{bmatrix} 1 &9 &5 \end{bmatrix}$ and $x,y$ and $z$ be the eigenvalue of $A$, then the value of $xyz$ is equal to?
Let $A=\begin{bmatrix} 2\\-4 \\7 \end{bmatrix}.\begin{bmatrix} 1 &9 &5 \end{bmatrix}$ and $x,y$ and $z$ be the eigenvalue of $A$, then the value of $xyz$ is eq...
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0 votes
1 answer
3761
functions
The number of ways possible to form injective function from set A set B where |A| = 3 and |B| = 5 such that $p^{th}$ element of set A cannot match with $p^{th}$ element of set B are________.
The number of ways possible to form injective function from set A set B where |A| = 3 and |B| = 5 such that $p^{th}$ element of set A cannot match with $p^{th}$ element o...
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0 votes
1 answer
3762
Kenneth Rosen Edition 6th Exercise 2.2 Question 8 (Page No. 120)
Determine whether these statements are true or false. ∅ ∈ {∅} ∅ ∈ {∅, {∅}} {∅} ∈ {∅} {∅} ∈ {{∅}} {∅} ⊂ {∅, {∅}} {{∅}} ⊂ {∅, {∅}} {{∅}} ⊂ {{∅}, {∅}}
Determine whether these statements are true or false. ∅ ∈ {∅} ∅ ∈ {∅, {∅}}{∅} ∈ {∅}{∅} ∈ {{∅}}{∅} ⊂ {∅, {∅}} {{∅}} ⊂ {∅, {∅}}{{�...
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0 votes
1 answer
3765
Pigeon hole principle
A teacher gives a multiple choice quiz that has 5 questions, each with 4 possible answers: a, b, c,d What is the minimum number of students that must be in the class in order to guarantee that at least 4 answer sheets will be identical? how to do this problem
A teacher gives a multiple choice quiz that has 5 questions, each with4 possible answers: a, b, c,d What is the minimum number of students thatmust be in the class in ord...
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0 votes
1 answer
3767
Self doubt
Is this graph Euler?
Is this graph Euler?
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1 votes
1 answer
3768
Graph Theory Doubt
If there are exactly 2 vertices x and y of odd degree in a graph G, then there must be a path between x and y, Is this true? Please explain with valid reasons.
If there are exactly 2 vertices x and y of odd degree in a graph G, then there must be a path between x and y,Is this true? Please explain with valid reasons.
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1 votes
1 answer
3769
How do I prepare Engineering Mathematics for Gate CS?
Good Morning, I want to start Engineering Mathematics and need help from you to know where to start and what would be the best sequence to complete the whole subject?
Good Morning,I want to start Engineering Mathematics and need help from you to know where to start and what would be the best sequence to complete the whole subject?
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0 votes
1 answer
3770
#tree
What is the number of spanning tree in cyclic graph
What is the number of spanning tree in cyclic graph
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