|
|
Akash PatelEduRev Mathematics |
|
Akash Patel
EduRev Mathematics
|
Content, tests & courses saved by you for accessing later. (visible to you only)
Discussed Questions
The line y - x + 2 = 0 cuts the line joining (3, -1) and (8, 9) in the ratio- a)3:2
- b)2:3
- c)3:-2
- d)-3:2
Correct answer is option 'B'. Can you explain this answer?
The line y - x + 2 = 0 cuts the line joining (3, -1) and (8, 9) in the ratio
a)
3:2
b)
2:3
c)
3:-2
d)
-3:2
|
Akash Patel answered • 2 days ago |
Introduction
To determine the ratio in which the line y - x + 2 = 0 divides the line segment joining the points (3, -1) and (8, 9), we first need to find the coordinates of the intersection point.
Step 1: Find the Equation of the Line Segment
The slope of the line segment connecting (3, -1) and (8, 9) can be calculated as follows:
- Slope = (y2 - y1) / (x2 - x1) =... more
To determine the ratio in which the line y - x + 2 = 0 divides the line segment joining the points (3, -1) and (8, 9), we first need to find the coordinates of the intersection point.
Step 1: Find the Equation of the Line Segment
The slope of the line segment connecting (3, -1) and (8, 9) can be calculated as follows:
- Slope = (y2 - y1) / (x2 - x1) =... more
|
|
Akash Patel upvoted • 2 weeks ago |
The probability that a man who is 85 yrs. old will die before attaining the age of 90 is 1 / 3. A1, A2, A3 and A4 are four persons who are 85 yrs. old. The probability that A1 will die before attaining the age of 90 and will be the first to die is- a)65/81
- b)13/81
- c)65/324
- d)13/108
Correct answer is option 'C'. Can you explain this answer?
The probability that a man who is 85 yrs. old will die before attaining the age of 90 is 1 / 3. A1, A2, A3 and A4 are four persons who are 85 yrs. old. The probability that A1 will die before attaining the age of 90 and will be the first to die is
a)
65/81
b)
13/81
c)
65/324
d)
13/108
|
Veda Institute answered |
Required probability = P[at least one person dies before 90 days) x P(first person to die is A1)
|
|
Akash Patel upvoted • 4 weeks ago |
The number of 2x2 matrices over Z3 (the field with three elements) with determinant 1 is- a)24
- b)60
- c)(a) 24 (b) 60
- d)(a) 24 (b) 60 (c) 20 (<7)30
Correct answer is option 'A'. Can you explain this answer?
The number of 2x2 matrices over Z3 (the field with three elements) with determinant 1 is
a)
24
b)
60
c)
(a) 24 (b) 60
d)
(a) 24 (b) 60 (c) 20 (<7)30
|
|
Veda Institute answered |
Consider the binary operation on X, a∗b=a+b+4, for a,b∈X. We are asked to determine the properties satisfied by this operation.
This operation satisfies the properties of an abelian group since it is closed under addition, associative, has an identity element (0), and every element has an inverse.
This operation satisfies the properties of an abelian group since it is closed under addition, associative, has an identity element (0), and every element has an inverse.
|
|
Akash Patel upvoted • Feb 16, 2025 |
The length of the arc of the parabola x2 = 4ay from the vertex to the extremity of the latus rectum is given by:- a)
- b)
- c)
- d)
Correct answer is option 'A'. Can you explain this answer?
The length of the arc of the parabola x2 = 4ay from the vertex to the extremity of the latus rectum is given by:
a)
b)
c)
d)
|
|
Veda Institute answered |
Given curve is x2 = 4ay
Differentiating, w.r. to y, we get
implies
implies
Hence Length of the arc between vertex and extremity of latus rectum
Differentiating, w.r. to y, we get
implies
implies
Hence Length of the arc between vertex and extremity of latus rectum
|
|
Akash Patel upvoted • Feb 07, 2025 |
In a certain test, αi, students gave wrong answers to at least i questions, where i = 1,2,3.4...k. No student gave more than k wrong answers the total number of wrong answers given is :Correct answer is option ''. Can you explain this answer?
In a certain test, αi, students gave wrong answers to at least i questions, where i = 1,2,3.4...k. No student gave more than k wrong answers the total number of wrong answers given is :
|
|
Veda Institute answered |
|
|
Akash Patel upvoted • Feb 01, 2025 |
Green’s theorem in a plane is a special case of- a)Stoke’s theorem
- b)Gauss divergence theorem
- c)Cauchy’s theorem
- d)None of the above
Correct answer is option 'A'. Can you explain this answer?
Green’s theorem in a plane is a special case of
a)
Stoke’s theorem
b)
Gauss divergence theorem
c)
Cauchy’s theorem
d)
None of the above
|
|
Veda Institute answered |
Green's theorem gives the relationship between a line integral around a simple closed curve, C, in a plane and a double integral over the plane region R bounded by C. It is a special two-dimensional case of the more general Stokes' theorem.
Stokes’ Theorem gives the relationship between a line integral around a simple closed curve, C, in space, and a surface integral over a piecewise, smooth surface.
Green’s theorem in its “curl form”.
where F = P(x,y) i + Q(x,y) j and dr = dx i + dy j
is as follows: (curl form of Green’s Theorem)
c∫ F(x,y) . dr = c∫ F . T ds = r∫ ∫ curl F dA
where curl F is the z-component of curl F = curl F . k
for stoke’s theorem
|
|
Akash Patel asked • Jan 15, 2025 |
f T = 
| eigen values of B are in Z}, then which of the following statement(s) is true?
Let T = {B ∈ M3 x 3(ℝ) | eigenvalues of B are integers}. Which of the following statements is/are true?- a) If B-1 exist for B∈ T, then B-1 ∈ T
- b)There exists B ∈ M3 x 3(ℝ) \ T such that B-1 ∈ T.
- c)If B ∈ T, then B ∈ M3 x 3(ℤ).
- d)If B ∈ M3 x 3(ℚc), then B ∉ T
Correct answer is option 'B'. Can you explain this answer?
f T = | eigen values of B are in Z}, then which of the following statement(s) is true?
Let T = {B ∈ M3 x 3(ℝ) | eigenvalues of B are integers}. Which of the following statements is/are true?
| eigen values of B are in Z}, then which of the following statement(s) is true?Let T = {B ∈ M3 x 3(ℝ) | eigenvalues of B are integers}. Which of the following statements is/are true?
a)
If B-1 exist for B∈ T, then B-1 ∈ T
b)
There exists B ∈ M3 x 3(ℝ) \ T such that B-1 ∈ T.
c)
If B ∈ T, then B ∈ M3 x 3(ℤ).
d)
If B ∈ M3 x 3(ℚc), then B ∉ T
|
Scholars Academy answered |
- For statement A, if B is invertible and its eigenvalues are integers, B-1's eigenvalues are the reciprocals of B's eigenvalues. These may not be integers, contradicting the condition for B-1 to be in T.
- Statement B is true. An example is B = I, the identity matrix, which is in M3 x 3(ℝ). Here, B-1 = B, and both have integer eigenvalues.
- Statement C is false because a matrix in T can have integer eigenvalues without having all integer entries.
- Statement D is false. A matrix can be in M3 x 3(ℚc) and still have integer eigenvalues.
A polygon has 54 diagonals, then the number of its sides arc :- a)11
- b)12
- c)7
- d)none
Correct answer is option 'B'. Can you explain this answer?
A polygon has 54 diagonals, then the number of its sides arc :
a)
11
b)
12
c)
7
d)
none
|
|
Akash Patel answered • Aug 28, 2024 |
To determine the number of sides in a polygon given the number of diagonals, we can use a mathematical formula.
Understanding the Formula for Diagonals
The formula to calculate the number of diagonals (D) in a polygon with 'n' sides is:
D = n(n - 3) / 2
Where:
- D = number of diagonals
- n = number of sides
Given Information
In this... more
Understanding the Formula for Diagonals
The formula to calculate the number of diagonals (D) in a polygon with 'n' sides is:
D = n(n - 3) / 2
Where:
- D = number of diagonals
- n = number of sides
Given Information
In this... more
In a polygon the number of diagonals is 54. The number of sides of the polygon is- a)10
- b)12
- c)9
- d)none of these
Correct answer is option 'B'. Can you explain this answer?
In a polygon the number of diagonals is 54. The number of sides of the polygon is
a)
10
b)
12
c)
9
d)
none of these
|
|
Akash Patel answered • Aug 28, 2024 |
Understanding the Number of Diagonals in a Polygon
To find the number of sides \( n \) in a polygon with a given number of diagonals, we can use the formula for the number of diagonals:
Formula for Diagonals
The number of diagonals \( D \) in a polygon with \( n \) sides is given by:
\[
D = \frac{n(n-3)}{2}
\]
This formula arises because eac... more
To find the number of sides \( n \) in a polygon with a given number of diagonals, we can use the formula for the number of diagonals:
Formula for Diagonals
The number of diagonals \( D \) in a polygon with \( n \) sides is given by:
\[
D = \frac{n(n-3)}{2}
\]
This formula arises because eac... more
|
|
Akash Patel asked • Jun 18, 2024 |
For the function f(x) = x3 + x + 1we do not have any Rolles point. The coordinate axes are transformed by rotating them by 60 degrees in anti-clockwise sense. The new Rolles point is- a)3/2
- b)The function can never have a Rolles point
- c)1
- d)
Correct answer is option 'D'. Can you explain this answer?
For the function f(x) = x3 + x + 1
we do not have any Rolles point. The coordinate axes are transformed by rotating them by 60 degrees in anti-clockwise sense. The new Rolles point is
a)
3/2
b)
The function can never have a Rolles point
c)
1
d)
|
|
Veda Institute answered |
The question is simply asking us to find if there is some open interval in the original function f(x)
where we have f'(x) = tan(60)
We have
f'(x) = 3x2 + 1 = tan(60)
3x2 = √3 – 1
|
|
Akash Patel asked • Jun 11, 2024 |
If f(x) is a continuous function defined for 
(where ℚ is the set of all rational number). If f(2) = 1 then f(1.532) is (Answer should be integer) _______.Correct answer is '1'. Can you explain this answer?
If f(x) is a continuous function defined for (where ℚ is the set of all rational number). If f(2) = 1 then f(1.532) is (Answer should be integer) _______.
(where ℚ is the set of all rational number). If f(2) = 1 then f(1.532) is (Answer should be integer) _______.|
|
Veda Institute answered |
Given that fix) is continuous function for all x ∈ [1,3].
Also f (x) ∈ ℚ, hencef (x) must be constant function over ℝ.
Since f (2) = 1, then f (x) =1 Vx ∈ [1.3]
So f(1.532) = 1
If A and B are two events such that P(A) = p, P(B) = q, P ( A ∩ B ) = r then the probability that A occurs but B does not occur is- a)p-r
- b)p-q
- c)p-qr
- d)p-pq
Correct answer is option 'A'. Can you explain this answer?
If A and B are two events such that P(A) = p, P(B) = q, P ( A ∩ B ) = r then the probability that A occurs but B does not occur is
a)
p-r
b)
p-q
c)
p-qr
d)
p-pq
|
|
Akash Patel answered • May 11, 2024 |
Probability that A occurs but B does not occur
Probability of event A occurring but event B not occurring can be calculated by finding the probability of A occurring and subtracting the probability of both A and B occurring.
Given probabilities:
- P(A) = p
- P(B) = q
- P(A ∩ B) = r
Calculation:
- Probability of A occurring but B n... more
Probability of event A occurring but event B not occurring can be calculated by finding the probability of A occurring and subtracting the probability of both A and B occurring.
Given probabilities:
- P(A) = p
- P(B) = q
- P(A ∩ B) = r
Calculation:
- Probability of A occurring but B n... more
The total number of words that can be made by- writing the letters of the word PARAMETER so that no vowel is between two consonants is- a)1440
- b)1800
- c)2160
- d)none of these
Correct answer is option 'B'. Can you explain this answer?
The total number of words that can be made by- writing the letters of the word PARAMETER so that no vowel is between two consonants is
a)
1440
b)
1800
c)
2160
d)
none of these
|
|
Akash Patel answered • Feb 25, 2024 |
Approach:
To find the total number of words that can be made by writing the letters of the word PARAMETER so that no vowel is between two consonants, we can break down the problem into several steps.
Step 1: Identify the Consonants and Vowels
- The word PARAMETER has the following consonants: P, R, M, T.
- The word PARAMETER has the f... more
|
|
Akash Patel asked • Feb 09, 2024 |
There are n straight lines in a plane in which no two are parallel and no three pass through the same point. Their points of intersection are joined. Show that the number of fresh lines thus introduced is
- a)
- b)
- c)
- d)
Correct answer is option 'D'. Can you explain this answer?
There are n straight lines in a plane in which no two are parallel and no three pass through the same point. Their points of intersection are joined. Show that the number of fresh lines thus introduced is
a)
b)
c)
d)
|
|
Veda Institute answered |
Let R be the ring o f p olynom ials over Z2 and let I be the ideal of R generated by the polynomial x2 + x + 1. Then the number of elements in the quotient ring R/ I is- a)2
- b)4
- c)8
- d)16
Correct answer is option 'C'. Can you explain this answer?
Let R be the ring o f p olynom ials over Z2 and let I be the ideal of R generated by the polynomial x2 + x + 1. Then the number of elements in the quotient ring R/ I is
a)
2
b)
4
c)
8
d)
16
|
|
Akash Patel answered • Jan 07, 2024 |
Explanation:
To find the number of elements in the quotient ring R/I, we need to determine the cosets of I in R and count the number of distinct cosets.
Step 1: Find the cosets of I in R.
A coset of I in R is defined as the set of all elements of R that are obtained by adding an element of I to any element of R. In other words, if a is any element of ... more
To find the number of elements in the quotient ring R/I, we need to determine the cosets of I in R and count the number of distinct cosets.
Step 1: Find the cosets of I in R.
A coset of I in R is defined as the set of all elements of R that are obtained by adding an element of I to any element of R. In other words, if a is any element of ... more
Subway trains on a certain line run every half hour between midnight and six in the morning. Find the probability that a person entering the station at a random time during this period will have to wait at least twenty minutes. - a)1/2
- b)2/3
- c)1/3
- d)1/6
Correct answer is option 'C'. Can you explain this answer?
Subway trains on a certain line run every half hour between midnight and six in the morning. Find the probability that a person entering the station at a random time during this period will have to wait at least twenty minutes.
a)
1/2
b)
2/3
c)
1/3
d)
1/6
|
|
Akash Patel answered • Dec 13, 2023 |
To find the probability that a person entering the station at a random time during the period from midnight to six in the morning will have to wait at least twenty minutes, we need to consider the frequency of the trains and the possible waiting times.
Let's first determine the frequency of the trains. The trains run every half hour, so there are two trains per hour. The period from mid... more
Let's first determine the frequency of the trains. The trains run every half hour, so there are two trains per hour. The period from mid... more
The number of onto linear transformation from R3 to R4 is- a)0
- b)1
- c)2
- d)3
Correct answer is option 'A'. Can you explain this answer?
The number of onto linear transformation from R3 to R4 is
a)
0
b)
1
c)
2
d)
3
|
|
Akash Patel answered • Nov 03, 2023 |
Explanation:
To find the number of onto linear transformations from R3 to R4, we need to consider the dimensions of the vector spaces involved.
Definition:
An onto linear transformation is a function that maps every element in the domain to a unique element in the codomain.
Dimensions of R3 and R4:
The vector space R3 represents all p... more
To find the number of onto linear transformations from R3 to R4, we need to consider the dimensions of the vector spaces involved.
Definition:
An onto linear transformation is a function that maps every element in the domain to a unique element in the codomain.
Dimensions of R3 and R4:
The vector space R3 represents all p... more
Integrate(x^2/x^4 x^2 1)dx?
|
|
Akash Patel answered • Nov 03, 2023 |
Integration of x^2/(x^4 * x^2 + 1)dx
To integrate the given expression, we can use the method of substitution. Let's consider the substitution u = x^2. This implies du/dx = 2x, and solving for dx gives dx = du/(2x).
Now, let's rewrite the integral using this substitution:
∫(x^2/(x^4 * x^2 + 1))dx = ∫(u/(u^2 * x^2 + 1))(du/(2x))
Simplifying the expression... more
To integrate the given expression, we can use the method of substitution. Let's consider the substitution u = x^2. This implies du/dx = 2x, and solving for dx gives dx = du/(2x).
Now, let's rewrite the integral using this substitution:
∫(x^2/(x^4 * x^2 + 1))dx = ∫(u/(u^2 * x^2 + 1))(du/(2x))
Simplifying the expression... more
Any equation contains n-arbitrary constants, then the order of differential equation derived from it is- a)n
- b)n - 1
- c)2
- d)n + 1
Correct answer is option 'A'. Can you explain this answer?
Any equation contains n-arbitrary constants, then the order of differential equation derived from it is
a)
n
b)
n - 1
c)
2
d)
n + 1
|
|
Akash Patel answered • Oct 10, 2023 |
The Order of a Differential Equation Derived from an Equation with n-Arbitrary Constants
When an equation contains n-arbitrary constants, it means that there are n unknown quantities that can take any value. In the context of a differential equation, these arbitrary constants arise from the integration process when solving the equation.
Definition: Order of a Differential Equation
... more|
|
Akash Patel asked • Aug 17, 2023 |
Can I adopt a specific time management strategy to ensure effective utilization of marking weightage in the IIT JAM Mathematics Paper?
|
Naina Rana answered |
Time Management Strategy for IIT JAM Mathematics Paper
One of the key factors in achieving success in the IIT JAM Mathematics Paper is effective time management. By adopting a specific time management strategy, you can ensure the efficient utilization of marking weightage and maximize your chances of scoring well. Here's a detailed explanation of how to develop and implement such... more
One of the key factors in achieving success in the IIT JAM Mathematics Paper is effective time management. By adopting a specific time management strategy, you can ensure the efficient utilization of marking weightage and maximize your chances of scoring well. Here's a detailed explanation of how to develop and implement such... more
|
|
Akash Patel asked • Aug 17, 2023 |
Can I get access to the question papers for the IIT JAM Mathematics Exam without my category mentioned on it?
|
|
Naina Rana answered |
To get access to the question papers for the IIT JAM Mathematics Exam without the category mentioned on them, you can follow these steps:
1. Visit the EduRev website:
Go to the EduRev website, which is a reliable platform for accessing a wide range of educational resources, including previous years' question papers for various exams.
2. Search for IIT JA... more
Use the search bar on the website to look for the question papers specifically for the IIT JAM Mathematics Exam. You can type in keywords such as "IIT JAM Mathematics question papers" or "IIT JAM Mathematics previous years' papers" to narrow down your search.
3. Filter the search results:
Once you have performed the search, you may need to filter the results to find the specific question papers you are looking for. You can do this by using the available filters, such as year-wise filters or filters based on the specific topics or sections of the exam.
4. Select the desired question papers:
Review the list of question papers that appear in the search results and select the ones that you wish to access. Ensure that the question papers you choose do not mention any category on them.
5. Download the question papers:
After selecting the desired question papers, click on the download button or link provided. This will allow you to save the question papers to your device for offline access.
6. Access the question papers:
Once the question papers are downloaded, you can open them using a compatible PDF viewer or any other application that supports the file format. You will then be able to view and study the question papers without the category mentioned on them.
Important Note: It is essential to use reliable and authorized platforms like EduRev for accessing question papers and study materials. These platforms ensure the accuracy and authenticity of the resources, which is crucial for effective preparation.
By following these steps, you can access the question papers for the IIT JAM Mathematics Exam without the category mentioned on them. Remember to utilize these question papers as a valuable resource for your exam preparation, as they will provide you with insights into the exam pattern, types of questions asked, and help you practice and improve your problem-solving skills.
1. Visit the EduRev website:
Go to the EduRev website, which is a reliable platform for accessing a wide range of educational resources, including previous years' question papers for various exams.
2. Search for IIT JA... more
Use the search bar on the website to look for the question papers specifically for the IIT JAM Mathematics Exam. You can type in keywords such as "IIT JAM Mathematics question papers" or "IIT JAM Mathematics previous years' papers" to narrow down your search.
3. Filter the search results:
Once you have performed the search, you may need to filter the results to find the specific question papers you are looking for. You can do this by using the available filters, such as year-wise filters or filters based on the specific topics or sections of the exam.
4. Select the desired question papers:
Review the list of question papers that appear in the search results and select the ones that you wish to access. Ensure that the question papers you choose do not mention any category on them.
5. Download the question papers:
After selecting the desired question papers, click on the download button or link provided. This will allow you to save the question papers to your device for offline access.
6. Access the question papers:
Once the question papers are downloaded, you can open them using a compatible PDF viewer or any other application that supports the file format. You will then be able to view and study the question papers without the category mentioned on them.
Important Note: It is essential to use reliable and authorized platforms like EduRev for accessing question papers and study materials. These platforms ensure the accuracy and authenticity of the resources, which is crucial for effective preparation.
By following these steps, you can access the question papers for the IIT JAM Mathematics Exam without the category mentioned on them. Remember to utilize these question papers as a valuable resource for your exam preparation, as they will provide you with insights into the exam pattern, types of questions asked, and help you practice and improve your problem-solving skills.
|
|
Akash Patel asked • Aug 07, 2023 |
Can I get access to the cutoff marks of the top rankers in the IIT JAM Mathematics Exam?
|
Radha Mehta answered |
I recommend visiting the official website of the conducting authority or trusted educational platforms like EduRev to get the accurate and up-to-date cutoff marks for the top rankers in the exam.
Conclusion
The cutoff marks for the top rankers in the IIT JAM Mathematics Exam can vary from year to year and are determined by the conducting authority based on various fact... more
Conclusion
The cutoff marks for the top rankers in the IIT JAM Mathematics Exam can vary from year to year and are determined by the conducting authority based on various fact... more
|
|
Akash Patel asked • Aug 03, 2023 |
Can you explain the marking scheme for multiple-choice questions (MCQs) in the IIT JAM Mathematics Paper?
|
Hrithik Choudhury answered |
Marking Scheme for Multiple-Choice Questions (MCQs) in IIT JAM Mathematics Paper
The IIT JAM (Joint Admission Test for M.Sc.) Mathematics Paper consists of multiple-choice questions (MCQs) where candidates have to choose the correct answer from the given options. The marking scheme for the MCQs is as follows:
Positive Marking:
Each question in the IIT JAM M... more
The IIT JAM (Joint Admission Test for M.Sc.) Mathematics Paper consists of multiple-choice questions (MCQs) where candidates have to choose the correct answer from the given options. The marking scheme for the MCQs is as follows:
Positive Marking:
Each question in the IIT JAM M... more
Fetching relevant content for you
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup