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Recent questions tagged isi2019mma
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1
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ISI2019MMA28
Consider the functions $f,g:[0,1] \rightarrow [0,1]$ given by $f(x)=\frac{1}{2}x(x+1) \text{ and } g(x)=\frac{1}{2}x^2(x+1).$ Then the area enclosed between the graphs of $f^{1}$ and $g^{1}$ is $1/4$ $1/6$ $1/8$ $1/24$
asked
May 7, 2019
in
Calculus
by
Sayan Bose
Loyal
(
7.4k
points)

661
views
isi2019mma
calculus
engineeringmathematics
integration
+1
vote
1
answer
2
ISI2019MMA24
Let $f:\mathbb{R} \rightarrow \mathbb{R}$ be a continuous function such that $\lim _{n\rightarrow \infty} f''(x)$ exists for every $x \in \mathbb{R}$, where $f''(x) = f \circ f^{n1}(x)$ for $n \geq 2$ ... $S \subset T$ $T \subset S$ $S = T$ None of the above
asked
May 7, 2019
in
Calculus
by
Sayan Bose
Loyal
(
7.4k
points)

256
views
isi2019mma
engineeringmathematics
calculus
limits
+1
vote
1
answer
3
ISI2019MMA23
Let $A$ be $2 \times 2$ matrix with real entries. Now consider the function $f_A(x)$ = $Ax$ . If the image of every circle under $f_A$ is a circle of the same radius, then A must be an orthogonal matrix A must be a symmetric matrix A must be a skewsymmetric matrix None of the above must necessarily hold
asked
May 7, 2019
in
Linear Algebra
by
Sayan Bose
Loyal
(
7.4k
points)

148
views
isi2019mma
engineeringmathematics
linearalgebra
matrices
0
votes
1
answer
4
ISI2019MMA21
A function $f:\mathbb{R^2} \rightarrow \mathbb{R}$ is called degenerate on $x_i$, if $f(x_1,x_2)$ remains constant when $x_i$ varies $(i=1,2)$. Define $f(x_1,x_2) = \mid 2^{\pi _i/x_1} \mid ^{x_2} \text{ for } x_1 \neq 0$, where $i = \sqrt {1}$. ... $x_1$ but not on $x_2$ $f$ is degenerate on $x_2$ but not on $x_1$ $f$ is neither degenerate on $x_1$ nor on $x_2$
asked
May 7, 2019
in
Others
by
Sayan Bose
Loyal
(
7.4k
points)

405
views
isi2019mma
complexnumber
0
votes
2
answers
5
ISI2019MMA20
Suppose that the number plate of a vehicle contains two vowels followed by four digits. However, to avoid confusion, the letter $‘O’$ and the digit $‘0’$ are not used in the same number plate. How many such number plates can be formed? $164025$ $190951$ $194976$ $219049$
asked
May 7, 2019
in
Combinatory
by
Sayan Bose
Loyal
(
7.4k
points)

375
views
isi2019mma
engineeringmathematics
discretemathematics
permutationandcombination
+1
vote
1
answer
6
ISI2019MMA19
Let $G =\{a_1,a_2, \dots ,a_{12}\}$ be an Abelian group of order $12$ . Then the order of the element $ ( \prod_{i=1}^{12} a_i)$ is $1$ $2$ $6$ $12$
asked
May 7, 2019
in
Set Theory & Algebra
by
Sayan Bose
Loyal
(
7.4k
points)

242
views
isi2019mma
engineeringmathematics
discretemathematics
settheory&algebra
grouptheory
+1
vote
1
answer
7
ISI2019MMA18
For the differential equation $\frac{dy}{dx} + xe^{y}+2x=0$ It is given that $y=0$ when $x=0$. When $x=1$, $\:y$ is given by $\text{ln} \bigg(\frac{3}{2e} – \frac{1}{2} \bigg)$ $\text{ln} \bigg(\frac{3e}{2} – \frac{1}{4} \bigg)$ $\text{ln} \bigg(\frac{3}{e} – \frac{1}{2} \bigg)$ $\text{ln} \bigg(\frac{3}{2e} – \frac{1}{4} \bigg)$
asked
May 7, 2019
in
Others
by
Sayan Bose
Loyal
(
7.4k
points)

3.6k
views
isi2019mma
nongate
engineeringmathematics
calculus
differentialequation
+1
vote
2
answers
8
ISI2019MMA17
The reflection of the point $(1,2)$ with respect to the line $x + 2y =15$ is $(3,6)$ $(6,3)$ $(5,10)$ $(10,5)$
asked
May 7, 2019
in
Geometry
by
Sayan Bose
Loyal
(
7.4k
points)

146
views
isi2019mma
nongate
geometry
+1
vote
1
answer
9
ISI2019MMA16
If $S$ and $S’$ are the foci of the ellipse $3x^2 + 4y^2=12$ and $P$ is a point on the ellipse, then the perimeter of the triangle $PSS’$ is $4$ $6$ $8$ dependent on the coordinates of $P$
asked
May 7, 2019
in
Geometry
by
Sayan Bose
Loyal
(
7.4k
points)

88
views
isi2019mma
nongate
geometry
0
votes
2
answers
10
ISI2019MMA15
The rank of the matrix $\begin{bmatrix} 0 &1 &t \\ 2& t & 1\\ 2& 2 & 0 \end{bmatrix}$ equals $3$ for any real number $t$ $2$ for any real number $t$ $2$ or $3$ depending on the value of $t$ $1,2$ or $3$ depending on the value of $t$
asked
May 7, 2019
in
Linear Algebra
by
Sayan Bose
Loyal
(
7.4k
points)

171
views
isi2019mma
linearalgebra
engineeringmathematics
matrices
+1
vote
1
answer
11
ISI2019MMA14
If the system of equations $\begin{array} \\ax +y+z= 0 \\ x+by +z = 0 \\ x+y + cz = 0 \end{array}$ with $a,b,c \neq 1$ has a non trivial solutions, the value of $\frac{1}{1a} + \frac{1}{1b} + \frac{1}{1c}$ is $1$ $1$ $3$ $3$
asked
May 7, 2019
in
Linear Algebra
by
Sayan Bose
Loyal
(
7.4k
points)

157
views
isi2019mma
linearalgebra
systemofequations
0
votes
2
answers
12
ISI2019MMA13
Let $V$ be the vector space of all $4 \times 4$ matrices such that the sum of the elements in any row or any column is the same. Then the dimension of $V$ is $8$ $10$ $12$ $14$
asked
May 6, 2019
in
Linear Algebra
by
Sayan Bose
Loyal
(
7.4k
points)

210
views
isi2019mma
engineeringmathematics
linearalgebra
vectorspace
nongate
0
votes
2
answers
13
ISI2019MMA12
Given a positive integer $m$, we define $f(m)$ as the highest power of $2$ that divides $m$. If $n$ is a prime number greater than $3$, then $f(n^31) = f(n1)$ $f(n^31) = f(n1) +1$ $f(n^31) = 2f(n1)$ None of the above is necessarily true
asked
May 6, 2019
in
Numerical Ability
by
Sayan Bose
Loyal
(
7.4k
points)

306
views
isi2019mma
generalaptitude
numericalability
0
votes
1
answer
14
ISI2019MMA8
For $0 \leq x \leq 2 \pi$, the number of solutions of the equation $\sin^2x + 2 \cos^2x + \sin x \cos x = 0$ is $1$ $2$ $3$ $4$
asked
May 6, 2019
in
Others
by
Sayan Bose
Loyal
(
7.4k
points)

113
views
isi2019mma
nongate
trignometry
0
votes
1
answer
15
ISI2019MMA6
The solution of the differential equation $\frac{dy}{dx} = \frac{2xy}{x^2y^2}$ is $x^2 + y^2 = cy$, where $c$ is a constant $x^2 + y^2 = cx$, where $c$ is a constant $x^2 – y^2 = cy$ , where $c$ is a constant $x^2  y^2 = cx$, where $c$ is a constant
asked
May 6, 2019
in
Calculus
by
Sayan Bose
Loyal
(
7.4k
points)

203
views
isi2019mma
nongate
engineeringmathematics
calculus
differentialequation
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