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Discussed Questions
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Aditi Singh upvoted • 3 weeks ago |
For a partial differential equation, in a function φ (x, y) and two variables x, y, what is the form obtained after separation of variables is applied?- a)Φ (x, y) = X(x) + Y(y)
- b)Φ (x, y) = X(x) - Y(y)
- c)Φ (x, y) = X(x) / Y(y)
- d)Φ (x, y) = X(x)Y(y)
Correct answer is option 'D'. Can you explain this answer?
For a partial differential equation, in a function φ (x, y) and two variables x, y, what is the form obtained after separation of variables is applied?
a)
Φ (x, y) = X(x) + Y(y)
b)
Φ (x, y) = X(x) - Y(y)
c)
Φ (x, y) = X(x) / Y(y)
d)
Φ (x, y) = X(x)Y(y)
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Veda Institute answered |
The method of separation of variables relies upon the assumption that a function of the form,
Φ (x, y) = X(x)Y(y)
will be a solution to a linear homogeneous partial differential equation in x and y. This is called a product solution and provided the boundary conditions are also linear and homogeneous this will also satisfy the boundary conditions.
Φ (x, y) = X(x)Y(y)
will be a solution to a linear homogeneous partial differential equation in x and y. This is called a product solution and provided the boundary conditions are also linear and homogeneous this will also satisfy the boundary conditions.
Which of the following is a conic section?- a) Circle
- b) Rectangle
- c) Triangle
- d) Square
Correct answer is option 'A'. Can you explain this answer?
Which of the following is a conic section?
a)
Circle
b)
Rectangle
c)
Triangle
d)
Square
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Aditi Singh answered • Feb 26, 2025 |
Understanding Conic Sections
Conic sections are curves obtained by intersecting a cone with a plane. The type of curve formed depends on the angle of the intersecting plane. The primary conic sections include circles, ellipses, parabolas, and hyperbolas.
Why Circle is a Conic Section
- A circle is formed when the intersecting plane is perpendicular to the axis of the c... more
Conic sections are curves obtained by intersecting a cone with a plane. The type of curve formed depends on the angle of the intersecting plane. The primary conic sections include circles, ellipses, parabolas, and hyperbolas.
Why Circle is a Conic Section
- A circle is formed when the intersecting plane is perpendicular to the axis of the c... more
The diagonal elements of a Skew Hermitian Matrix are- a)All non — zero reals
- b)All purely imaginary number or zero
- c)Some non — zero reals and some imaginary
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
The diagonal elements of a Skew Hermitian Matrix are
a)
All non — zero reals
b)
All purely imaginary number or zero
c)
Some non — zero reals and some imaginary
d)
None of these
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Aditi Singh answered • Feb 26, 2025 |
Understanding Skew Hermitian Matrices
A Skew Hermitian matrix is defined by the property that its conjugate transpose is equal to its negative. In mathematical terms, for a matrix A, it holds that A* = -A, where A* is the conjugate transpose of A.
Diagonal Elements of Skew Hermitian Matrices
The diagonal elements of a Skew Hermitian matrix have special characteristics:... more
A Skew Hermitian matrix is defined by the property that its conjugate transpose is equal to its negative. In mathematical terms, for a matrix A, it holds that A* = -A, where A* is the conjugate transpose of A.
Diagonal Elements of Skew Hermitian Matrices
The diagonal elements of a Skew Hermitian matrix have special characteristics:... more
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Aditi Singh upvoted • Feb 24, 2025 |
The distance between the parallel planes 2x -2y + z + 3 = 0 and 4x -4y + 2z + 5 = 0 is- a)1/2
- b)1/3
- c)1/6
- d)none of the above
Correct answer is option 'C'. Can you explain this answer?
The distance between the parallel planes 2x -2y + z + 3 = 0 and 4x -4y + 2z + 5 = 0 is
a)
1/2
b)
1/3
c)
1/6
d)
none of the above
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Veda Institute answered |
To find the distance between two parallel planes, we follow the method given below. Method:Find the perpendicular distance of each plane from the origin with proper sign (i.e. do not. lake the mod). Ther. their differeee is the required distance between two parallel planes. Let d. and d, be the distances of the planes
2x -2y + z + 3 =0 ...(i)
and 4x - 4y + 2z + 5 = 0 ...(ii)
from the origin. Then
2x -2y + z + 3 =0 ...(i)
and 4x - 4y + 2z + 5 = 0 ...(ii)
from the origin. Then
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Aditi Singh upvoted • Feb 09, 2025 |
If r > p > q, the number of different selections of p + q things taking r at a time, where p things are identical and q other things are identical, is- a)p + q - r
- b)q + q - r + 1
- c)r - p - q + 1
- d)non of these
Correct answer is option 'B'. Can you explain this answer?
If r > p > q, the number of different selections of p + q things taking r at a time, where p things are identical and q other things are identical, is
a)
p + q - r
b)
q + q - r + 1
c)
r - p - q + 1
d)
non of these
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Veda Institute answered |
The number of selections of p things from p identical things and r - p things from q identical things = 1 x 1
Similarly in all other cases,
∴ the total number of ways
= p - (r - q )+ 1 or q - (r - p) + 1
= p + q - r + l
Similarly in all other cases,
∴ the total number of ways
= p - (r - q )+ 1 or q - (r - p) + 1
= p + q - r + l
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Aditi Singh upvoted • Feb 04, 2025 |
Let z be any non - zero complex number. Then arg(z) + arg(z¯) is equal to
- a)-π
- b)π
- c)0
- d)π/2
Correct answer is option 'C'. Can you explain this answer?
Let z be any non - zero complex number. Then arg(z) + arg(z¯) is equal to
a)
-π
b)
π
c)
0
d)
π/2
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Veda Institute answered |
Let z = x+iy
zˉ = x−iy
arg(z) = xy,arg(zˉ) = −xy
arg(z) + arg(zˉ) = 0
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Aditi Singh upvoted • Jan 30, 2025 |
If 
are to arbitrary vectors with magnitudes a and b respectively, 
will be equal to- a)
- b)
- c)
- d)
Correct answer is option 'A'. Can you explain this answer?
If are to arbitrary vectors with magnitudes a and b respectively, will be equal to
are to arbitrary vectors with magnitudes a and b respectively, will be equal toa)
b)
c)
d)
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Veda Institute answered |
Cross checking from option (a),
which is correct answer.
which is correct answer.
Let 𝐶 be set of integer pairs (𝑎, 𝑏) for which the three
complex roots 𝑟1
, 𝑟2 and 𝑟3 of the polynomial 𝑝(𝑥) = 𝑥
3 −
2𝑥
2 + 𝑎𝑥 − 𝑏 satisfy 𝑟1
3 + 𝑟2
3 + 𝑟3
3 = 0... more
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Aditi Singh answered • Nov 21, 2024 |
Understanding the Problem
To solve for the cardinality of the set C containing integer pairs (a, b), we need to analyze the cubic polynomial given by:
- p(x) = x^3 - 2x^2 + ax - b
The roots r1, r2, and r3 satisfy the condition:
- r1^3 + r2^3 + r3^3 = 0
Using Symmetric Sums
We can use the properties of symmetric sums of roots:
- Sum of roots: ... more
To solve for the cardinality of the set C containing integer pairs (a, b), we need to analyze the cubic polynomial given by:
- p(x) = x^3 - 2x^2 + ax - b
The roots r1, r2, and r3 satisfy the condition:
- r1^3 + r2^3 + r3^3 = 0
Using Symmetric Sums
We can use the properties of symmetric sums of roots:
- Sum of roots: ... more
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Aditi Singh asked • Jun 18, 2024 |
Which of the following is a conic section?- a) Circle
- b) Rectangle
- c) Triangle
- d) Square
Correct answer is option 'A'. Can you explain this answer?
Which of the following is a conic section?
a)
Circle
b)
Rectangle
c)
Triangle
d)
Square
|
|
Veda Institute answered |
Circle is a conic section. When the plane cuts the right circular cone at right angles with the axis of the cone, the shape obtained is called as a circle. If the angle is oblique we get the other parts of the conic sections.
be a vector valued function, then
along any closed path 'c'
along any smooth path connecting A(0, 0) to B(1, 1)
is conservative
is irrotational
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Aditi Singh asked • Jun 05, 2024 |
The wronskian of two solutions of the differential equation t2y'' - t(t+2)y' + (t+2)y = 0 satisfies W (1) = 1 is- a) t2et
- b) t2et-1
- c) t et
- d) t et-1
Correct answer is option 'B'. Can you explain this answer?
The wronskian of two solutions of the differential equation t2y'' - t(t+2)y' + (t+2)y = 0 satisfies W (1) = 1 is
a)
t2et
b)
t2et-1
c)
t et
d)
t et-1
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Veda Institute answered |
Re-wrirte the equation as
Compare with general form y" + py' +Qy = 0, we have p(t) = 
Now using W (1) = 1, we have 1 =ce i.e. c = 1/e
⇒ W(t) = t2et-1
The product of two Unitary matrices is a ________ matrix- a)Unit
- b)Orthogonal
- c)Unitary
- d)None of the above
Correct answer is option 'C'. Can you explain this answer?
The product of two Unitary matrices is a ________ matrix
a)
Unit
b)
Orthogonal
c)
Unitary
d)
None of the above
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Aditi Singh answered • Feb 22, 2024 |
Unitary Matrices Product
Unitary matrices are matrices that satisfy the property: U*U^H = I, where U^H is the conjugate transpose of U and I is the identity matrix.
Product of Two Unitary Matrices
When you multiply two unitary matrices together, the result is also a unitary matrix. This can be proven as follows:
Let A and B be two uni... more
The product of two Unitary matrices is a ... matrix- a)Unit
- b)Unitary
- c)Orthogonal
- d)None of the above
Correct answer is option 'C'. Can you explain this answer?
The product of two Unitary matrices is a ... matrix
a)
Unit
b)
Unitary
c)
Orthogonal
d)
None of the above
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Aditi Singh answered • Feb 22, 2024 |
Product of Two Unitary Matrices
Unitary matrices are square matrices whose conjugate transpose is equal to their inverse. When two unitary matrices are multiplied together, the resulting matrix may or may not be unitary.
Explanation
- When two unitary matrices are multiplied together, the result is not necessarily a unitary matrix.
- The pr... more
Suppose T1 : V —> U and T2 : U ---> W be a linear transformations then- a)Rank T20T1 ≥ Rank T2
- b)Rank T20T1 ≤ Rank T2
- c)RankT20T1 ≥ Rank T1
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
Suppose T1 : V —> U and T2 : U ---> W be a linear transformations then
a)
Rank T20T1 ≥ Rank T2
b)
Rank T20T1 ≤ Rank T2
c)
RankT20T1 ≥ Rank T
1
d)
None of these
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Aditi Singh answered • Feb 22, 2024 |
This statement appears to be incomplete. It seems to be introducing a variable or a term T1 that is related to a set V, but without further context or information, it is difficult to determine the specific meaning or purpose of T1 in relation to V. Can you provide more details or clarify the context in which T1 : V is being used?
A person goes in for examination in which there are four papers with a maximum of 20 marks from each paper. The number of ways in which one can get 40 marks is :- a)6167
- b)43C3
- c)6181
- d)none
Correct answer is option 'C'. Can you explain this answer?
A person goes in for examination in which there are four papers with a maximum of 20 marks from each paper. The number of ways in which one can get 40 marks is :
a)
6167
b)
43C3
c)
6181
d)
none
|
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Aditi Singh answered • Jan 12, 2024 |
Question Analysis:
In this question, a person is appearing for an examination with four papers, and each paper has a maximum of 20 marks. The task is to find the number of ways in which the person can score a total of 40 marks.
Solution:
To solve this problem, we can use the concept of generating functions. Let's consider each paper as a variable with a maximum v... more
In this question, a person is appearing for an examination with four papers, and each paper has a maximum of 20 marks. The task is to find the number of ways in which the person can score a total of 40 marks.
Solution:
To solve this problem, we can use the concept of generating functions. Let's consider each paper as a variable with a maximum v... more
A teacher takes 3 children from her class to the zoo at a time as often as she can, but she does not lake the same three children to the zoo more than once. She finds that she goes to the zoo 84 times more than a particular child goes to the zoo. The number of children in her class is- a)12
- b)10
- c)60
- d)none of these
Correct answer is option 'B'. Can you explain this answer?
A teacher takes 3 children from her class to the zoo at a time as often as she can, but she does not lake the same three children to the zoo more than once. She finds that she goes to the zoo 84 times more than a particular child goes to the zoo. The number of children in her class is
a)
12
b)
10
c)
60
d)
none of these
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Aditi Singh answered • Dec 14, 2023 |
Problem:
A teacher takes 3 children from her class to the zoo at a time as often as she can, but she does not take the same three children to the zoo more than once. She finds that she goes to the zoo 84 times more than a particular child goes to the zoo. The number of children in her class is
Solution:
Let's assume that the number of children in the class is 'n'... more
A teacher takes 3 children from her class to the zoo at a time as often as she can, but she does not take the same three children to the zoo more than once. She finds that she goes to the zoo 84 times more than a particular child goes to the zoo. The number of children in her class is
Solution:
Let's assume that the number of children in the class is 'n'... more
If the difference between the expectation of the square of a random variable ( E [X])2 is denoted by R, then- a)R = 0
- b)R< 0
- c)R ≥ 0
- d)R > 0
Correct answer is option 'C'. Can you explain this answer?
If the difference between the expectation of the square of a random variable ( E [X])2 is denoted by R, then
a)
R = 0
b)
R< 0
c)
R ≥ 0
d)
R > 0
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Aditi Singh answered • Nov 21, 2023 |
= 0 implies that the variable X has no variance or variability. In other words, it means that X always takes on the same value, so there is no difference between the expected value of X squared and the square of the expected value of X. This is a special case and not true for most random variables.
b) R > 0 implies that the variable X has some variance or variability. In this case, ther... more
b) R > 0 implies that the variable X has some variance or variability. In this case, ther... more
The differential equation y" + (x3 sin x)5 y' + y = cos x3 is - a)homogeneous
- b)nonlinear
- c)second order linear
- d)non-homogeneous with constant coefficients
Correct answer is option 'C'. Can you explain this answer?
The differential equation y" + (x3 sin x)5 y' + y = cos x3 is
a)
homogeneous
b)
nonlinear
c)
second order linear
d)
non-homogeneous with constant coefficients
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Aditi Singh answered • Oct 31, 2023 |
It seems like your sentence is cut off and incomplete. Could you please provide more information or complete your sentence?
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Aditi Singh asked • Aug 17, 2023 |
Can I get admission to M.Sc. Physics at IITs if I have a Bachelor's degree in Physical Education?
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Naina Rana answered |
Admission to M.Sc. Physics at IITs with a Bachelor's degree in Physical Education
Introduction:
Obtaining admission to M.Sc. Physics at IITs (Indian Institutes of Technology) with a Bachelor's degree in Physical Education is highly unlikely. The IITs have strict eligibility criteria for their M.Sc. Physics programs, and a background in Physical Education does not fulf... more
Introduction:
Obtaining admission to M.Sc. Physics at IITs (Indian Institutes of Technology) with a Bachelor's degree in Physical Education is highly unlikely. The IITs have strict eligibility criteria for their M.Sc. Physics programs, and a background in Physical Education does not fulf... more
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Aditi Singh asked • Aug 17, 2023 |
When will the question papers for the IIT JAM Mathematics Exam be available for download?
|
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Naina Rana answered |
Availability of IIT JAM Mathematics Exam Question Papers
The IIT JAM (Joint Admission Test for M.Sc.) is a national level entrance exam conducted by the Indian Institutes of Technology (IITs) for admission into various postgraduate programs, including Mathematics. The exam is held once a year, usually in the month of February.
Release Date of Question Papers
... more|
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Aditi Singh asked • Aug 07, 2023 |
Can you suggest some coaching institutes or online platforms that provide guidance to score above the cutoff in the IIT JAM Mathematics Paper?
|
Radha Mehta answered |
Coaching Institutes:
1. Super 30: A well-known coaching institute that provides free coaching to underprivileged students. The institute has a proven track record of helping students score above the cutoff in various competitive exams, including IIT JAM Mathematics. They provide comprehensive study materials, regular mock tests, and personalized guidance to students.
2. Reso... more
1. Super 30: A well-known coaching institute that provides free coaching to underprivileged students. The institute has a proven track record of helping students score above the cutoff in various competitive exams, including IIT JAM Mathematics. They provide comprehensive study materials, regular mock tests, and personalized guidance to students.
2. Reso... more
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Aditi Singh asked • Aug 05, 2023 |
What is the detailed syllabus for the IIT JAM Mathematics Exam?
|
Mohit Chauhan answered |
Syllabus for IIT JAM Mathematics Exam
1. Mathematical Statistics
- Random variables and their probability distributions
- Moments and moment generating functions
- Standard distributions like uniform, exponential, normal, and binomial
- Joint distributions and their properties
- Sampling distributions and central limit theorem
... more
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Aditi Singh asked • Aug 02, 2023 |
Can I request a copy of my answer sheet after the IIT JAM Mathematics Exam?
|
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Nakul Bajaj answered |
Can I request a copy of my answer sheet after the IIT JAM Mathematics Exam?
Yes, you can request a copy of your answer sheet after the IIT JAM Mathematics Exam. The process of obtaining a copy of your answer sheet is outlined below.
Step 1: Visit the Official IIT JAM Website
Go to the official website of IIT JAM (Joint Admission Test for M.Sc.) Mathematics.... more
Yes, you can request a copy of your answer sheet after the IIT JAM Mathematics Exam. The process of obtaining a copy of your answer sheet is outlined below.
Step 1: Visit the Official IIT JAM Website
Go to the official website of IIT JAM (Joint Admission Test for M.Sc.) Mathematics.... more
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