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New Question

11 months ago

Relations and Functions Maths

2. Show that the relation R in the set R of real numbers, defined as 

R = {(a, b): a ≤ b2} is neither reflexive nor symmetric nor transitive.
0 Follower 22 Views

V
Vishal Baghel

Contributor-Level 10

We have,

R= {(a,b):a≤b2} is a relation in R.

For a∈R then is b=a,a≤a2 is not true for all real number less than 1.

Hence, R is not reflexive.

Let (a,b)∈R and a=1 and b=2

Then, a≤b2 = 1≤22 = 1≤4 so, (1,2)∈R

But (b,a)=(2,1)

i.e., 2≤12 = 2≤1 is not true

so, (2,1)∉R

hence, R is not symmetric.

For, (a,b)=(10,4)&(b,c)=(4,2)∈R

We have, a=10≤42=b2 => 10≤16 is true

So, (10,4)∈R

And 4≤22 => 4≤4 So, (4,2)∈R

But 10≤22 => 10≤4 is not true.

So, (10,2)∉R

Hence, R is not transitive.

New Question

11 months ago

Relations and Functions Maths

2. If the set A has 3 elements and the set B = {3, 4, 5}, then find the number of elements in (A×B).
0 Follower 4 Views

P
Payal Gupta

Contributor-Level 10

2. Given, n (A) = 3

n (B) = 3 or B = {3,4,5}

So, number of elements in A* B = n (A* B) = n (A)* n (B) = 3 *3 = 9.

New Question

11 months ago

Design B.A Fashion Design
Can I become a Fashion Designer after BA Fashion Design?
0 Follower 4 Views

N
Nikita Chauhan

Contributor-Level 9

Of course, it's a valid way in the journey of becoming a Fashion Designer. Though with a BA in Fashion Design degree, you will need to have a portfolio, relevant work experience, the right skills, and expertise to achieve your goals of becoming a successful Designer. Merely completing a bachelor's degree can land you an entry-level job, but with constant learning and practical experience will help you become better in the field.

New Question

11 months ago

Relations and Functions Maths

Relation and Function Exercise 1.1 Solutions

1. Determine whether each of the following relations are reflexive, symmetric and transitive:

(i) Relation R in the set A = {1, 2, 3…13, 14} defined as

R = {(x, y): 3x − y = 0}

(ii) Relation R in the set N of natural numbers defined as

R = {(x, y): y = x + 5 and x < 4}

(iii) Relation R in the set A = {1, 2, 3, 4, 5, 6} as

R = {(x, y): y is divisible by x}

(iv) Relation R in the set Z of all integers defined as

R = {(x, y): x − y is as integer}

(v) Relation R in the set A of human beings in a town at a particular time given by

(a) R = {(x, y): x and y work at the same place}

(b

...more
0 Follower 70 Views

V
Vishal Baghel

Contributor-Level 10

(i) We have, R={(x,y):3x−y=0} a relation in set A= {1,2,3..........14}

For x∈A,y=3x or y≠x i.e.,

(x,x) does not exist in R

∴ R is not reflexive.

For (x,y)∈R,y=3x

Then (y,x)x≠3y

So (y,x)∉R

∴ R is not symmetric

For (x,y)∈R and (y,z)∈R . We have

y=3x and z=3y

Then z=3(3x)=9x

i.e., (x,z)∉R

∴ R is not Transitive

(ii) We have,

R= {(x,y):y=x+5 &x<4} is a relation in N

= {(1,1+5),(2,2+5),(3,3+5)}

= {(1,6),(2,7),(3,8)}

Clearly, R is not reflexive as (x,x)∉R and x<4&x∈N

Also, R is not symmetric as (1,6)∈R but (6,1)∉R

And for (x,y)∈R(y,z)∉R . Hence, R is not Transitive.

(iii) R= {(x,y);y is divisible by x } is a relation in set

A= {1,2,3,4,5,6}

So, R= {(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,2),(2,4),(2,6),(3,3),(3,6),(4,4),(5,5),(6,6)}

Hence, R is reflexive because (1,1),(2,2),(3,3),(4,4),(5,5),(6,6)∈R i.e., (x,x)∈R

R is not sy

...more

New Question

11 months ago

P Block Elements Chemistry

7.70 Arrange the following in the order of property indicated for each set: (i) F2 , Cl2 , Br2 , I2 - increasing bond dissociation enthalpy. (ii) HF, HCl, HBr, HI - increasing acid strength. (iii) NH3, PH3, AsH3, SbH3, BiH3 – increasing base strength.
0 Follower 11 Views

A
alok kumar singh

Contributor-Level 10

7.70

As Bond dissociation energy generally decreases on moving down the group as the atomic size of the element increases. However, among halogens, the bond dissociation energy of F2 is lower than that of Cl2 and F2 due to the small atomic size of

Thus increasing order for bond dissociation energy among halogens is as follows:I22

As Bond dissociation energy of H-X molecules where X is the halogen decreases with increase in the atomic HI is the strongest acid as it loses H atom easily due to weak bonding between H and I.

So Increasing acid strength is as follows: HF

Basic strength decreases as we move from Nitrogen to Bismuth down the group

...more

New Question

11 months ago

Shyambazar Law College Law
I am unable to read and write Bengali. Can I still pursue law at Shyambazar Law College?
0 Follower 3 Views

New Question

11 months ago

P Block Elements Chemistry

7.69 How are XeO3 and XeOF4 prepared?
0 Follower 14 Views

A
alok kumar singh

Contributor-Level 10

7.69

(i) XeO3 can be produced by hydrolysis of XeF4 and XeF6 under controlled pH of the medium in which reaction is taking place as shown below:

6XeF4 + 12H2O → 4Xe + 2XeO3 + 24HF + 3O2

XeF6 + 3H2O → XeO3 + 6HF

(ii) XeOF4 can be obtained on partial hydrolysis of XeF6 as shown below:

XeF6 + H2O → XeOF4 + 2HF

New Question

11 months ago

P Block Elements Chemistry

7.68 With what neutral molecule is ClO– isoelectronic? Is that molecule a Lewis base?
0 Follower 4 Views

A
alok kumar singh

Contributor-Level 10

7.68

ClO- isisoelectronic to ClF as both the compounds contain 26 electrons in all. ClO- : 17+8+1 = 26

ClF : 17+9 = 26

Yes, ClF Molecule is a Lewis base as it accepts electrons from F to form ClF3.

New Question

11 months ago

Information Technology Computers & IT (Non-Engg)
How can I register for MAH BCA CET counselling?
0 Follower 3 Views

N
Nishtha Jain

Contributor-Level 7

Candidates will be able to register for MAH BCA CET counselling process online. To be registered, the candidates will have to provide their basic details. All of the provided information has to be valid. After the registration is done, the login ID will be generated for future use. Candidates will have to keep the login credentials safe as it will be required for login.

New Question

11 months ago

Mahatama Gandhi Chitrakoot Gramodaya Vishwavidyalaya Business Management Studies
Which is better for MBA among PTSNS University and MGCGV?
0 Follower 4 Views

R
Raushan Piplani

Contributor-Level 10

The candidates comparing both of these institutes can consider fees, placements, faculty, and more as parameters. There is not a huge difference in the fees for the PG course. In the below table, the data is presented for college comparison:

University/ CollegeTotal Tuition Feethe highest Package
MBA at PTSNS UniversityINR 1 lakhINR 13 LPA
MBA at MGCGVINR 1.05 lakhNA

NOTE:

  • The given fee is as per the official website/ sanctioning body. It is subject to revision and hence, is indicative.
  • the highest package given for PTSNS MBA is as per verified student reviews and is overall.

New Question

11 months ago

Humanities & Social Sciences Gokul Global University
What is the fee structure for BA course at GGU?
0 Follower 6 Views

A
Anushka Bidhi

Contributor-Level 10

The tuition fees for the BA course at Gokul Global University is in the range of INR 39,000 to INR 60,000. In case students opt for the hostel facilities then additionally charges of INR 1.45 Lacs are to be paid. Also the hostel charges differs depending upon the types of hostel facilities selected by the students.

New Question

11 months ago

M S Bidve Engineering College Information Technology
Which companies recruit MCA students during M S Bidve Engineering College?
0 Follower 6 Views

R
Ramanjan Kumar

Beginner-Level 5

M.S. Bidve Engineering College in Latur offers a Master of Computer Applications (MCA) program. While specific placement statistics for MCA graduates are not readily available, general placement data for the college provides some insights.

Placement Overview

General Placement Statistics: In the academic year 2022-23, out of 406 graduating students across various programs, 77 secured placements, indicating an overall placement rate of approximately 19% .

Salary Packages: The highest salary package offered was ?13LPA, while the lowest was ?4LPA . However, for Computer Applications and IT courses, the average remuneration package is around

...more

New Question

11 months ago

Design B.Des Fashion Design
Is BA Fashion Design similar to BDes Fashion Design?
0 Follower 4 Views

G
Gunjan Dhawan

Contributor-Level 9

Though both are UG-level programs in the Fashion field, their focus are approaches are different. The Bachelor of Arts course in Fashion Design talks more about the Fashion History, Marketing, and Communication part, while the Bachelor of Design course in Fashion Design delves deeper into the technical and creative elements of the field, such as pattern making, garment construction, and trend analysis. 

New Question

11 months ago

Engineering JNTUA - Jawaharlal Nehru Technological University, Anantapur
I qualified GATE 2025 with 352 score. Can I get admission to MTech at JNTUA? I belong to OBC category.
0 Follower 5 Views

L
Lakshita Saini

Beginner-Level 5

  • You are eligible to apply for M.Tech at JNTUA with your GATE 2025 score of 352 in OBC category.

  • Admission is based on GATE or AP-PGECET scores.

  • Getting CSE or AI specialisation is difficult with your score.

  • You may have a chance in less competitive branches.

  • Apply and take part in counselling to check available seats.

  • Also try through AP-PGECET as another option.

  • Keep an eye on later rounds or spot admissions.

 

New Question

11 months ago

Humanities & Social Sciences B.A
What is the eligibility criteria for getting admission in the BA course at Gokul Global University?
0 Follower 3 Views

A
Anushka Bidhi

Contributor-Level 10

The BA course is offered in the Gokul Global University for students to take admission. The admission however is subject to fulfillment of the set eligibility criteria. The students must be Class 12 passed and should have studied English as one of the subjects. Since the intake capacity is limited hence the students are advised to apply early.

New Question

11 months ago

Swami Vivekananda Institute of Management Business Management Studies
Which is more economical for an MBA among PTSNS University and Swami Vivekanand Institute of Management?
0 Follower 6 Views

R
Ranjeeta Karan

Contributor-Level 10

The total tuition fees for an MBA at Pandit SN Shukla University is INR 1 lakh. Additionally, the tuition fees for MBA at Swami Vivekanand Institute of Management is INR 39,000. As per this data, the latter is more economical. For a more fair college comparison, a few other factors can also be considered. Some of these are placement package, location, faculty, etc.

Candidates must note that the given fee amount is as per the official website/ sanctioning body. It is still subject to revision and hence, is indicative.

New Question

11 months ago

Alakh Prakash Goyal Shimla University B.Sc
What are the steps to apply for BSc at APG Shimla?
0 Follower 4 Views

A
Aayush Sharma

Contributor-Level 10

BSc Admission at APG Shimla is simple and not too complicated. The admissions starts from the month of June and goes on till October. These are the steps the admissions process generally follows:

1.       Apply and Appear for Class 12 exams

2.       Apply for BSc admission at APG Shimla

3.       Do the final document verification and pay the tuition fee

During the counselling round candidates have the opportunity to select their desired course.

New Question

11 months ago

Colleges in Mumbai
Is it worth joining the top ranked Arts colleges in Mumbai?
0 Follower 3 Views

T
Tasbiya Khan

Contributor-Level 10

Yes, joining the top ranked Arts colleges in Mumbai can be worthwhile for you. For that, you need to check its ROI. Listed below are some colleges along with their tuition fees and average placement package:

College Name

Average Fees

Average Package

St. Xavier's College, Mumbai Courses

INR 23,361

6.89 LPA

Mithibai College Courses

INR 37,634

4.72 LPA

Kishinchand Chellaram College Courses

INR 19,640

2.50 LPA

B.K. Birla College of Arts, Science, and Commerce Courses

INR 14,365

2.00 LPA

Sarla Anil Modi School of Economics, NMIMS, Mumbai Courses

INR 9.75 Lakh

6.60 LPA

Disclaimer: This information is sourced from the official website and may vary.

New Question

11 months ago

Alakh Prakash Goyal Shimla University B.Sc
What exam is necessary for APG Shimla BSc admissions?
0 Follower 4 Views

A
Aayush Sharma

Contributor-Level 10

Candidates applying for APG Shimla BSc must appear for their Class 12 exam in their respective stream. APG Shimla does not consider any other entrance exam for admission.

After clearing the exam, Candidates do not have to sit for further rounds of admission, as only the merit score of Class 12 is considered.

New Question

11 months ago

Humanities & Social Sciences Engineering
What are the top companies recruiting PhD in CSE students?
0 Follower 5 Views

V
Vidhi Jain

Contributor-Level 10

After completing the PhD in CSE course, you can find good work opportunities in academia, tech companies, R&D units, etc., with excellent earning potential. Here are a few top recruiters for your reference:

  • Google 
  • Amazon
  • Microsoft
  • Deloitte
  • Infosys
  • Adobe
  • IBM Global Services

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