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Welcome to GATE CSE Doubts, where you can ask questions and receive answers from other members of the community.

Recent questions tagged engineering-mathematics

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2 answers 8 views
The confusion arises as according to the def. continuity exists at a point ‘a’, when LHL, RHL, f(a) is finite and LHL=RHL=f(a).
asked 4 days ago in Mathematical Logic Palash Nandi 1 13 points 8 views
0 votes
2 answers 15 views
Hi I need other resource for calculus cause I doing now mitocw David jerison calculus course as I on 10th video I realized this course is way too far for gate exam or psu exams cause this course give detailed proof and solution for every formula for differentiation like ... can follow kreatyrx? Please help me I am very confused ? As I give this week to complete engg maths full please reply fast
asked 6 days ago in Mathematical Logic ykrishnay 103 points 15 views
0 votes
1 answer 10 views
i study calculus but now i totally confused in calculus cause what is the exact syllabus of calculus for gate cse in integration , so all types of integration i do like multiple integration etc ? please reply as i stuck in between.
asked Jul 22 in Mathematical Logic ykrishnay 103 points 10 views
0 votes
1 answer 19 views
A tree has 14 vertices of degree 1 and degree of each of remaining vertices is 4 or 5. If the tree has ‘n’ vertices then number of vertices with degree 5 is:- (40-2n) (3n-54) (54-2n) (3n-40)
asked Jul 14 in Graph Theory subhashchaganti 5 points 19 views
0 votes
1 answer 24 views
(G,*) is an abelian group .Then, (i). $X$ =$X^{-1}$ for any X belonging to G. (ii). $X$=$X^{2}$ for any X belonging to G. (iii). $(X*Y)^{2}$ = $X^{2}$ * $Y^{2}$ for any X ,Y belonging to G. (iv). G is of finite order
asked Jul 4 in Set Theory & Algebra ShivangiChauhan 17 points 24 views
1 vote
1 answer 15 views
The value of $\int_{0}^{inf}$ $e^{-y^{3}}.y^{1/2} dy$ is ? Ans = $\sqrt{\Pi } * 1/3$ How ?
asked Jun 30 in Calculus 10nikhilsharma01 9 points 15 views
0 votes
1 answer 20 views
Hi There is 2 book for graph theory so which book is followed because is rosen is short for graph theory and deo is very detailed so for gate which book is followed ? in rosen so there is complete detail for graph theory so if i read rosen so can i make gate related questions or not ? thank you
asked Jun 30 in Graph Theory ykrishnay 103 points 20 views
0 votes
1 answer 38 views
hi so what is least resource for calculus mainly for gate only, cause mit video is very long it is very time consuming
asked Jun 28 in Mathematical Logic ykrishnay 103 points 38 views
1 vote
0 answers 18 views
A chair car compartment has 16 chairs in a row and 12 people randomly take up a chair each and the next person comes up with additional luggage which requires him to have two adjacent chairs. The probability that the 13th person is able to sit on the same row is ? A) 11/20 B) 4/7 C) 81/140 D) 17/28
asked Jun 26 in Mathematical Logic Dheeraj Varma 19 points 18 views
0 votes
1 answer 53 views
Number of cycles of length 4 that are possible in the complete bipartite graph K(4,6) is
asked Sep 2, 2020 in Graph Theory Vishal_kumar98 37 points 53 views
0 votes
1 answer 48 views
Which of the following number has odd number of divisors? 8762 9993 7568 1147 I tried calculating the numbers but it is very hard Can somehow virtual calculator be used? Is the problem in gate syllabus?
asked Aug 23, 2020 in Numerical Ability intgate 9 points 48 views
0 votes
1 answer 107 views
0 votes
0 answers 19 views
Consider the first order predicate formula $\varphi$: $\forall x [ ( \forall z \: z \mid x \Rightarrow (( z=x) \vee (z=1))) \rightarrow \exists w ( w > x) \wedge (\forall z \: z \mid w \Rightarrow ((w=z) \vee (z=1)))]$ Here $a \mid b$ ... $S3:$ Set of all integers Which of the above sets satisfy $\varphi$? S1 and S2 S1 and S3 S2 and S3 S1, S2 and S3
asked Apr 18, 2020 in Mathematical Logic admin 577 points 19 views
0 votes
0 answers 14 views
Let $G$ be an undirected complete graph on $n$ vertices, where $n > 2$. Then, the number of different Hamiltonian cycles in $G$ is equal to $n!$ $(n-1)!$ $1$ $\frac{(n-1)!}{2}$
asked Apr 18, 2020 in Graph Theory admin 577 points 14 views
0 votes
0 answers 13 views
Suppose $Y$ is distributed uniformly in the open interval $(1,6)$. The probability that the polynomial $3x^2 +6xY+3Y+6$ has only real roots is (rounded off to $1$ decimal place) _______
asked Apr 18, 2020 in Probability admin 577 points 13 views
0 votes
0 answers 20 views
Let $G$ be any connected, weighted, undirected graph. $G$ has a unique minimum spanning tree, if no two edges of $G$ have the same weight. $G$ has a unique minimum spanning tree, if, for every cut of $G$, there is a unique minimum-weight edge crossing the cut. Which of the following statements is/are TRUE? I only II only Both I and II Neither I nor II
asked Apr 18, 2020 in Graph Theory admin 577 points 20 views
0 votes
0 answers 16 views
Consider the following matrix: $R = \begin{bmatrix} 1 & 2 & 4 & 8 \\ 1 & 3 & 9 & 27 \\ 1 & 4 & 16 & 64 \\ 1 & 5 & 25 & 125 \end{bmatrix}$ The absolute value of the product of Eigen values of $R$ is _______
asked Apr 18, 2020 in Linear Algebra admin 577 points 16 views
0 votes
0 answers 33 views
If the characteristic polynomial of a 3 $\times$ 3 matrix $M$ over $\mathbb{R}$ (the set of real numbers) is $\lambda^3 – 4 \lambda^2 + a \lambda +30, \quad a \in \mathbb{R}$, and one eigenvalue of $M$ is 2, then the largest among the absolute values of the eigenvalues of $M$ is _______
asked Apr 18, 2020 in Linear Algebra admin 577 points 33 views
0 votes
0 answers 22 views
Let $G$ be an arbitrary group. Consider the following relations on $G$: $R_1: \forall a , b \in G, \: a R_1 b \text{ if and only if } \exists g \in G \text{ such that } a = g^{-1}bg$ $R_2: \forall a , b \in G, \: a R_2 b \text{ if and only if } a= b^{-1}$ Which of the above is/are equivalence relation/relations? $R_1$ and $R_2$ $R_1$ only $R_2$ only Neither $R_1$ nor $R_2$
asked Apr 18, 2020 in Set Theory & Algebra admin 577 points 22 views
0 votes
0 answers 11 views
Let $U = \{1, 2, \dots , n\}$ Let $A=\{(x, X) \mid x \in X, X \subseteq U \}$. Consider the following two statements on $\mid A \mid$. $\mid A \mid = n2^{n-1}$ $\mid A \mid = \Sigma_{k=1}^{n} k \begin{pmatrix} n \\ k \end{pmatrix}$ Which of the above statements is/are TRUE? Only I Only II Both I and II Neither I nor II
asked Apr 18, 2020 in Combinatory admin 577 points 11 views
0 votes
0 answers 11 views
If $f(x) = R \: \sin ( \frac{\pi x}{2}) + S, f’\left(\frac{1}{2}\right) = \sqrt{2}$ and $\int_0^1 f(x) dx = \frac{2R}{\pi}$, then the constants $R$ and $S$ are $\frac{2}{\pi}$ and $\frac{16}{\pi}$ $\frac{2}{\pi}$ and 0 $\frac{4}{\pi}$ and 0 $\frac{4}{\pi}$ and $\frac{16}{\pi}$
asked Apr 18, 2020 in Calculus admin 577 points 11 views
0 votes
0 answers 13 views
Let $X$ be a square matrix. Consider the following two statements on $X$. $X$ is invertible Determinant of $X$ is non-zero Which one of the following is TRUE? I implies II; II does not imply I II implies I; I does not imply II I does not imply II; II does not imply I I and II are equivalent statements
asked Apr 18, 2020 in Linear Algebra admin 577 points 13 views
0 votes
0 answers 13 views
Compute $\displaystyle \lim_{x \rightarrow 3} \frac{x^4-81}{2x^2-5x-3}$ $1$ $53/12$ $108/7$ Limit does not exist
asked Apr 18, 2020 in Calculus admin 577 points 13 views
0 votes
0 answers 35 views
Which one of the following predicate formulae is NOT logically valid? Note that $W$ is a predicate formula without any free occurrence of $x$. $\forall x (p(x) \vee W) \equiv \forall x \: ( px) \vee W$ $\exists x(p(x) \wedge W) \equiv \exists x \: p(x) \wedge W$ ... $\exists x(p(x) \rightarrow W) \equiv \forall x \: p(x) \rightarrow W$
asked Apr 18, 2020 in Mathematical Logic admin 577 points 35 views
0 votes
0 answers 18 views
Consider the functions $e^{-x}$ $x^{2}-\sin x$ $\sqrt{x^{3}+1}$ Which of the above functions is/are increasing everywhere in $[ 0,1]$? Ⅲ only Ⅱ only Ⅱ and Ⅲ only Ⅰ and Ⅲ only
asked Apr 18, 2020 in Mathematical Logic admin 577 points 18 views
0 votes
0 answers 16 views
The number of permutations of the characters in LILAC so that no character appears in its original position, if the two L’s are indistinguishable, is ______.
asked Apr 18, 2020 in Combinatory admin 577 points 16 views
0 votes
0 answers 10 views
The function $y=|2 - 3x|$​ is continuous $∀ x ∈ R$ and differentiable $∀ x ∈ R$ is continuous $∀ x ∈ R$ and differentiable $∀ x ∈ R$ except at $x=\frac{3}{2}$ is continuous $∀ x ∈ R$ and differentiable $∀ x ∈ R$ except at $x=\frac{2}{3}$ is continuous $∀ x ∈ R$ except $x=3$ and differentiable $∀ x ∈ R$
asked Apr 18, 2020 in Calculus admin 577 points 10 views
1 vote
1 answer 39 views
Let $G$ be a group of $35$ elements. Then the largest possible size of a subgroup of $G$ other than $G$ itself is _______.
asked Apr 18, 2020 in Linear Algebra admin 577 points 39 views
0 votes
0 answers 13 views
Let $A$ and $B$ be two $n \times n$ matrices over real numbers. Let rank($M$) and $\text{det}(M)$ denote the rank and determinant of a matrix $M$, respectively. Consider the following statements. $\text{rank}(AB) = \text{rank }(A) \text{rank }(B)$ ... Which of the above statements are TRUE? I and II only I and IV only II and III only III and IV only
asked Apr 18, 2020 in Linear Algebra admin 577 points 13 views
0 votes
0 answers 53 views
The value of ‘x’ for which all the eigen values of the matrix given below are real is 10 5+j 4 x 20 2 4 2 -10 5+j b. 5-j c.1-5j d.1+5j
asked Apr 2, 2020 in Mathematical Logic Shivateja MST 45 points 53 views
0 votes
0 answers 52 views
Which one of the following descries the relationship among the three vectors, i+j+k ,2i+3j+k ,5i+6j+4k ? The vectors are mutually perpendicular The vectors are linearly dependent The vectors are linearly independent The vectors are unit vectors Anyone please clarify.
asked Apr 2, 2020 in Mathematical Logic Shivateja MST 45 points 52 views
0 votes
0 answers 72 views
In the expansion of $(v+w+x+y+z)^{16}$, the coefficient of $wxy^{13}z$ is $?$ How to solve these types of problems?
asked Jan 28, 2020 in Mathematical Logic Debapaul 541 points 72 views
0 votes
0 answers 43 views
0 votes
1 answer 59 views
If f'(x)=1/5-x^2, f(0)=1,then the lower and upper bound of f(1) are ___? A)6/5 , 5/4 B)-6/5 , -5/4 C) -6/5 , 5/4 D)6/5 ,-5/4
asked Jan 19, 2020 in Mathematical Logic Rsharma29 7 points 59 views
0 votes
0 answers 75 views
0 votes
0 answers 64 views
0 votes
0 answers 19 views
https://gateoverflow.in/1225/gate2007-27 could anybody explain properly how to find if the vectors form a basis for subspace? i am having difficulty in this question
asked Jan 11, 2020 in Mathematical Logic chandrikabhuyan8 165 points 19 views
0 votes
0 answers 94 views
If k=0 is a root of the characteristic equation of u” + au’ +bu =0 then b=_______ Anyone please clarify,what is the concept this question is related to?
asked Jan 5, 2020 in Calculus Shivateja MST 45 points 94 views
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