Skip to main content

General information - Maths formula, abbreviations etc

 -

Maths Formulas:

1. (α+в)²= α²+2αв+в²

2. (α+в)²= (α-в)²+4αв

3. (α-в)²= α²-2αв+в²

4. (α-в)²= (α+в)²-4αв

5. α² + в²= (α+в)² - 2αв.

6. α² + в²= (α-в)² + 2αв.

7. α²-в² =(α + в)(α - в)

8. 2(α² + в²) = (α+ в)² + (α - в)²

9. 4αв = (α + в)² -(α-в)²

10. αв ={(α+в)/2}²-{(α-в)/2}²

11. (α + в + ¢)² = α² + в² + ¢² + 2(αв + в¢ + ¢α)

12. (α + в)³ = α³ + 3α²в + 3αв² + в³

13. (α + в)³ = α³ + в³ + 3αв(α + в)

14. (α-в)³=α³-3α²в+3αв²-в³

15. α³ + в³ = (α + в) (α² -αв + в²)

16. α³ + в³ = (α+ в)³ -3αв(α+ в)

17. α³ -в³ = (α -в) (α² + αв + в²)

18. α³ -в³ = (α-в)³ + 3αв(α-в)

ѕιη0° =0

ѕιη30° = 1/2

ѕιη45° = 1/√2

ѕιη60° = √3/2

ѕιη90° = 1

¢σѕ ιѕ σρρσѕιтє σƒ ѕιη

тαη0° = 0

тαη30° = 1/√3

тαη45° = 1

тαη60° = √3

тαη90° = ∞

¢σт ιѕ σρρσѕιтє σƒ тαη

ѕє¢0° = 1

ѕє¢30° = 2/√3

ѕє¢45° = √2

ѕє¢60° = 2

ѕє¢90° = ∞

¢σѕє¢ ιѕ σρρσѕιтє σƒ ѕє¢

2ѕιηα¢σѕв=ѕιη(α+в)+ѕιη(α-в)

2¢σѕαѕιηв=ѕιη(α+в)-ѕιη(α-в)

2¢σѕα¢σѕв=¢σѕ(α+в)+¢σѕ(α-в)

2ѕιηαѕιηв=¢σѕ(α-в)-¢σѕ(α+в)

ѕιη(α+в)=ѕιηα ¢σѕв+ ¢σѕα ѕιηв.

» ¢σѕ(α+в)=¢σѕα ¢σѕв - ѕιηα ѕιηв.

» ѕιη(α-в)=ѕιηα¢σѕв-¢σѕαѕιηв.

» ¢σѕ(α-в)=¢σѕα¢σѕв+ѕιηαѕιηв.

» тαη(α+в)= (тαηα + тαηв)/ (1−тαηαтαηв)

» тαη(α−в)= (тαηα − тαηв) / (1+ тαηαтαηв)

» ¢σт(α+в)= (¢σтα¢σтв −1) / (¢σтα + ¢σтв)

» ¢σт(α−в)= (¢σтα¢σтв + 1) / (¢σтв− ¢σтα)

» ѕιη(α+в)=ѕιηα ¢σѕв+ ¢σѕα ѕιηв.

» ¢σѕ(α+в)=¢σѕα ¢σѕв +ѕιηα ѕιηв.

» ѕιη(α-в)=ѕιηα¢σѕв-¢σѕαѕιηв.

» ¢σѕ(α-в)=¢σѕα¢σѕв+ѕιηαѕιηв.

» тαη(α+в)= (тαηα + тαηв)/ (1−тαηαтαηв)

» тαη(α−в)= (тαηα − тαηв) / (1+ тαηαтαηв)

» ¢σт(α+в)= (¢σтα¢σтв −1) / (¢σтα + ¢σтв)

» ¢σт(α−в)= (¢σтα¢σтв + 1) / (¢σтв− ¢σтα)

α/ѕιηα = в/ѕιηв = ¢/ѕιη¢ = 2я

» α = в ¢σѕ¢ + ¢ ¢σѕв

» в = α ¢σѕ¢ + ¢ ¢σѕα

» ¢ = α ¢σѕв + в ¢σѕα

» ¢σѕα = (в² + ¢²− α²) / 2в¢

» ¢σѕв = (¢² + α²− в²) / 2¢α

» ¢σѕ¢ = (α² + в²− ¢²) / 2¢α

» Δ = αв¢/4я

» ѕιηΘ = 0 тнєη,Θ = ηΠ

» ѕιηΘ = 1 тнєη,Θ = (4η + 1)Π/2

» ѕιηΘ =−1 тнєη,Θ = (4η− 1)Π/2

» ѕιηΘ = ѕιηα тнєη,Θ = ηΠ (−1)^ηα


1. ѕιη2α = 2ѕιηα¢σѕα

2. ¢σѕ2α = ¢σѕ²α − ѕιη²α

3. ¢σѕ2α = 2¢σѕ²α − 1

4. ¢σѕ2α = 1 − ѕιη²α

5. 2ѕιη²α = 1 − ¢σѕ2α

6. 1 + ѕιη2α = (ѕιηα + ¢σѕα)²

7. 1 − ѕιη2α = (ѕιηα − ¢σѕα)²

8. тαη2α = 2тαηα / (1 − тαη²α)

9. ѕιη2α = 2тαηα / (1 + тαη²α)

10. ¢σѕ2α = (1 − тαη²α) / (1 + тαη²α)

11. 4ѕιη³α = 3ѕιηα − ѕιη3α

12. 4¢σѕ³α = 3¢σѕα + ¢σѕ3α


» ѕιη²Θ+¢σѕ²Θ=1

» ѕє¢²Θ-тαη²Θ=1

» ¢σѕє¢²Θ-¢σт²Θ=1

» ѕιηΘ=1/¢σѕє¢Θ

» ¢σѕє¢Θ=1/ѕιηΘ

» ¢σѕΘ=1/ѕє¢Θ

» ѕє¢Θ=1/¢σѕΘ

» тαηΘ=1/¢σтΘ

» ¢σтΘ=1/тαηΘ

» тαηΘ=ѕιηΘ/¢σѕΘ

ಗಣಿತದ ಸೂತ್ರಗಳು ಇವೆ ಪೋಷಕರು ಹೆಚ್ಚಿನ ಸಂಖ್ಯೆಯಲ್ಲಿ ಶೇರ್ ಮಾಡಿ


--------

Some abbreviations:

» B. A. — Bachelor of Arts.

» M. A. — Master of Arts. »B.tech - Bachelor of Technology

» B. Sc. — Bachelor of Science

» M. Sc. — Master of Science

» B. Sc. Ag. — Bachelor of Science in Agriculture

» M. Sc. Ag. — Master of Science in Agriculture

» M. B. B. S. — Bachelor of Medicine and Bachelor of Surgery

» B.A.M.S- Bachelor of Ayurved Medicine and surgery

» M. D. — Doctor of Medicine

» M. S. — Master of Surgery

» Ph. D. / D. Phil. — Doctor of Philosophy (Arts & Science)

» D. Litt./Lit. — Doctor of Literature / Doctor of Letters

» D. Sc. — Doctor of Science

» B. Com. — Bachelor of Commerce

» M. Com. — Master of Commerce

» Dr. — Doctor

» B. P. — Blood Pressure

» Mr. — Mister

» Mrs. — Mistress

» M.S. — miss (used for female married & unmarried)

» Miss — used before unmarried girls)

» M. P. — Member of Parliament

» M. L. A. — Member of Legislative Assembly

» M. L. C. — Member of Legislative Council

» P. M. — Prime Minister

» C. M. — Chief Minister

» C-in-C — Commander-In-Chief

» L. D. C. — Lower Division Clerk

» U. D. C. — Upper Division Clerk

» Lt. Gov. — Lieutenant Governor

» D. M. — District Magistrate

» V. I. P. — Very Important Person

» I. T. O. — Income Tax Officer

» C. I. D. — Criminal Investigation Department

» C/o — Care of

» S/o — Son of

» C. B. I. — Central Bureau of Investigation

» G. P. O. — General Post Office

» H. Q. — Head Quarters

» E. O. E. — Errors and Omissions Excepted

» Kg. — Kilogram

» KW. — Kilowatts

Gm. — Gram

Km. — Kilometer

Ltd. — Limited

M. P. H. — Miles Per Hour

KM. P. H. — Kilometre Per Hour

P. T. O. — Please Turn Over

P. W. D. — Public Works Department

C. P. W. D. — Central Public Works Department

U. S. A. — United States of America

U. K. — United Kingdom (England)

U. P. — Uttar Pradesh

M. P. — Madhya Pradesh

H. P. — Himachal Pradesh

U. N. O. — United Nations Organization

W. H. O. — World Health Organization

B. B. C. — British Broadcasting Corporation

B. C. — Before Christ

A. C. — Air Conditioned

I. G. — Inspector General (of Police)

D. I. G. — Deputy Inspector General (of Police)

S. S. P. — Senior Superintendent of Police

D. S. P. — Deputy Superintendent of Police

S. D. M. — Sub-Divisional Magistrate

S. M. — Station Master

A. S. M. — Assistant Station Master

V. C. — Vice-Chancellor

A. G. — Accountant General

C. R. — Confidential Report

I. A. S. — Indian Administrative Service

I. P. S. — Indian Police Service

I. F. S. — Indian Foreign Service or Indian Forest Service

I. R. S. — Indian Revenue Service

P. C. S. — Provincial Civil Service

M. E. S. — Military Engineering Service


---------

Full Form Of Some technical Words

» VIRUS - Vital Information Resource Under Seized.

» 3G -3rd Generation.

» GSM - Global System for Mobile Communication.

» CDMA - Code Division Multiple Access.

» UMTS - Universal Mobile Telecommunication System.

» SIM - Subscriber Identity Module .

» AVI = Audio Video Interleave

» RTS = Real Time Streaming

» SIS = Symbian

OS Installer File

» AMR = Adaptive Multi-Rate Codec

» JAD = Java Application Descriptor

» JAR = Java Archive

» JAD = Java Application Descriptor

» 3GPP = 3rd Generation Partnership Project

» 3GP = 3rd Generation Project

» MP3 = MPEG player-3

» MP4 = MPEG-4 video file

» AAC = Advanced Audio Coding

» GIF= Graphic Interchangeable Format

» JPEG = Joint Photographic Expert Group

» BMP = Bitmap

» SWF = Shock Wave Flash

» WMV = Windows Media Video

» WMA = Windows Media Audio

» WAV = Waveform Audio

» PNG = Portable Network Graphics

» DOC =Document (Microsoft Corporation)

» PDF = Portable Document Format

» M3G = Mobile 3D Graphics

» M4A = MPEG-4 Audio File

» NTH = Nokia Theme (series 40)

» THM = Themes (Sony Ericsson)

» MMF =Synthetic Music Mobile Application File

» NRT = Nokia Ringtone

» XMF = Extensible Music File

» WBMP = Wireless Bitmap Image

» DVX = DivX Video

» HTML = Hyper Text Markup Language

» WML =Wireless Markup Language

» CD -Compact Disk.

» DVD - Digital Versatile Disk.

» CRT - Cathode Ray Tube.

» DAT - Digital Audio Tape.

» DOS - Disk Operating System.

» GUI -Graphical

User Interface.

» HTTP - Hyper Text Transfer Protocol.

» IP - Internet Protocol.

» ISP - Internet Service Provider.

» TCP - Transmission Control Protocol.

» UPS - Uninterruptible Power Supply.

» HSDPA -High Speed Downlink Packet Access.

» EDGE - Enhanced Data Rate for Evolution.

» GSM- [Global System for Mobile Communication]

» VHF - Very High Frequency.

» UHF - Ultra HighFrequency.

» GPRS - General Packet Radio Service.

» WAP - Wireless Application Protocol.

» TCP - Transmission Control Protocol.

» ARPANET - Advanced Research Project Agency Network.

» IBM - International Business Machines.

» HP - Hewlett Packard.

» AM/FM - Amplitude/ Frequency Modulation


-------

Here are Toll Free numbers in India

.....very very useful...!!!!

Airlines

Indian Airlines - 1800 180 1407

Jet Airways - 1800 225 522

Spice Jet - 1800 180 3333

Air India - 1800 227 722

Kingfisher -1800 180 0101

---------

Banks

ABN AMRO - 1800 112 224

Canara Bank - 1800 446 000

Citibank - 1800 442 265

Corporation Bank - 1800 443 555

Development Credit Bank - 1800

225 769

HDFC Bank - 1800 227 227

ICICI Bank - 1800 333 499

ICICI Bank NRI -1800 224 848

IDBI Bank -1800 116 999

Indian Bank -1800 425 1400

ING Vysya -1800 449 900

Kotak Mahindra Bank - 1800 226

022

Lord Krishna Bank -1800 112 300

Punjab National Bank - 1800 122

222

State Bank of India - 1800 441 955

Syndicate Bank - 1800 446 655

☀Automobiles

Mahindra Scorpio -1800 226 006

Maruti -1800 111 515

Tata Motors - 1800 255 52

Windshield Experts - 1800 113 636

☀Computers / IT

Adrenalin - 1800 444 445

AMD -1800 425 6664

Apple Computers-1800 444 683

Canon -1800 333 366

Cisco Systems- 1800 221 777

Compaq - HP -1800 444 999

Data One Broadband - 1800 424

1800

Dell -1800 444 026

Epson - 1800 44 0011

eSys - 3970 0011

Genesis Tally Academy - 1800 444

888

HCL - 1800 180 8080

IBM - 1800 443 333

Lexmark - 1800 22 4477

Marshal's Point -1800 33 4488

Microsoft - 1800 111 100

Microsoft Virus Update - 1901 333

334

Seagate - 1800 180 1104

Symantec - 1800 44 5533

TVS Electronics-1800 444 566

WeP Peripherals-1800 44 6446

Wipro - 1800 333 312

Xerox - 1800 180 1225

Zenith - 1800 222 004

☀Indian Railways

General Enquiry 139

Central Enquiry 131

Reservation 139

Railway Reservation Enquiry 1345,

1335, 1330

Centralised Railway Enquiry 133, 1,

2, 4, 5, 6, 7, 8 & 9

Couriers / Packers &

Movers

ABT Courier - 1800 448 585

AFL Wizz - 1800 229 696

Agarwal Packers & Movers - 1800

114 321

Associated Packers P Ltd - 1800 214

560

DHL - 1800 111 345

FedEx - 1800 226 161

Goel Packers & Movers - 1800 11

3456

UPS - 1800 227 171

☀Home Appliances

Aiwa/Sony - 1800 111 188

Anchor Switches - 1800 227 7979

Blue Star - 1800 222 200


*✨* *✨*

. ✍ ಅತ್ಯುತ್ತಮವಾದ ಮಾಹಿತಿ

ಎಲ್ಲರಿಗೂ ತಲುಪಿಸಿ.

ನಿಮ್ಮಲ್ಲಿ ನನ್ನ ಮನವಿ. ವಿದ್ಯಾರ್ಥಿಗಳಿಗಾಗಿ ದಯವಿಟ್ಟು ಹೆಚ್ಚು ಹೆಚ್ಚು ಶೇರ್ ಮಾಡಿ

Source:

Received through WhatsApp message.

We are not responsible for any misinformation in the above data.


Popular posts from this blog

The qualities of a teacher:

 - _The Modern Definition of a Teacher_ When we think of a teacher, most of us imagine someone who teaches us academic subjects. This traditional definition is not incorrect, but it doesn't fully capture the essence of what a teacher truly is in today's world. A modern teacher is much more than an instructor; a teacher is a motivator. If a teacher does not inspire and motivate their students, they are not fulfilling their true role. Teaching, explaining, and conveying information is important, but the primary task is to create a spark in the minds and hearts of students. In developed countries, becoming a teacher requires obtaining a teaching license. Before this license is granted, six major qualities are evaluated: **1. Subject Mastery:** A good teacher must have a strong command over their subject. However, it's not enough to merely possess knowledge; in developed countries, teachers are also evaluated on how updated and relevant their knowledge is. Continuous learning a...

Philipsborn's journey from Germany to India to help during setting up of Jamia University at Delhi:

 - How did a German Jew  Gerda Philipsborn  come to Delhi, India to help establish one of the top university of India ‘Jamia’. It was a place so distant and disconnected from her homeland. Philipsborn's journey from being a German   -  a European women in colonial India - to becoming Jamia's  Aapa Jaan  (which she was fondly called at the university) began in 1933 when she traveled to India. At the university Philipsborn encouraged Jamia's girls and women to play a more active role in society. When she joined the editorial team of Payam-e Ta'lim, Jamia's children's journal, she contributed articles that spotlighted the hobbies and interests of women and encouraged girls to write for the journal.  Apart from her work with the children of Jamia, Gerda also helped its founders raise funds for the university. She managed to make friends with the people of Jamia and even began teaching in the university's primary school. Like the rest of the teach...

Who is Sir Hajee Ismail Sait of Bangalore:

 - Fukhr-ut-Tojjar Sir Hajee Ismail Sait: A Legacy of Business and Philanthropy Fukhr-ut-Tojjar Sir Hajee Ismail Sait (1859-1934) was a prominent Indian businessman, philanthropist, and community leader who left an indelible mark on South India.  He was an Indian banker, businessman and community leader who served as a member of the Madras Legislative Council . Born in Periyakulam, Tamil Nadu, Sait's entrepreneurial journey began early, driven by a strong work ethic and a keen business acumen. A Business Empire Takes Shape Sait's first venture, the "English Warehouse," proved to be a resounding success, catering to the needs of the British community in Bangalore. His entrepreneurial spirit, however, did not limit him to a single venture. He diversified into a wide range of businesses, including mines, and manufacturing units. His astute business decisions saw him rise to become one of the wealthiest merchants in South India. Very quickly, Ismail Sait built on the succ...

Azim Premji Foundation Report Dec 2024:

 - Click to read brief report: https://drive.google.com/file/d/1icDD6TSAarZHONqV4mN1t4B99QFvOsNJ/view?usp=drivesdk About  Azim Premji Foundation: The Azim Premji Foundation is a prominent philanthropic organization in India, dedicated to building a more just and equitable society. Founded in 2001 by Azim Premji, the chairman of Wipro Limited, the Foundation has emerged as one of the largest philanthropic endowments in the world. Key Focus Areas: Education :  The Foundation's primary focus lies in improving the quality and access to education, particularly for children from underprivileged backgrounds. They work closely with governments, NGOs, and academic institutions to strengthen public education systems, enhance teacher training, and improve learning outcomes. Healthcare :  Recognizing the critical link between health and education, the Foundation also supports initiatives in primary healthcare, nutrition, and maternal and child health. Livelihoods:  The Foun...

Respect and support for teachers, who play a vital role in shaping young minds and their future:

 - Teachers are extremely important not only for schools but for our society also. Respect and support for teachers is vital who work relentlessly for our children. By involving teachers and other stakeholders in decision-making processes, democratic leaders  promote collaboration, trust, and inclusivity, contributing to a positive school climate . Despite its benefits, challenges such as resistance to change and power dynamics exist. The democratic leadership style  prioritizes collaboration above direction, and a democratic leader seeks feedback before making a final decision . A principal who adopts the democratic leadership style, for instance, is more likely to involve teachers and staff members in the decision-making process. Below are few aspects where the school management can support and collaborate with teachers. 1. Acknowledge their hard work: Express gratitude and appreciation for their dedication constantly. 2. Provide resources and support: Ensure they have ...

There is no Good or Bad Career. It's only suitable or not suitable Career:

 - *Increasing Suicides by NEET, IIT-JEE aspirants and what parents need to do* Dear Parents This is the latest of hundreds of *suicides by teenagers and youth who are forced to pursue careers which they are not made for.* My humble appeal to all parents. *For God's Sake..* 1. Please *stop comparing* your son or daughter to other kids. This *comparison forces kids to get into depression, mental health problems* and unfortunately taking their own life. 2. Have a *heart to heart conversation.* Take out time to connect with them. It's your kid. Shred your ego. Understand them from their heart. 3. This world has *unlimited opportunities to serve, beyond fame and money* beyond being a doctor or engineer. Explore what suits your child.  4. There is no Good or Bad Career. It's only suitable or not suitable Career. *Before you spend lakhs, spend a few 100s to identify their Aptitude, Personality and then let the interest develop based on the findings.* 5. Please *don't force th...

OUR ROLE AS PARENTS:

- We know that today's children are tomorrow's citizens. How do we develop the young citizens. How can they become the productive contributors for the family as well as the society. The parenting is a multi dimensional approach. It involves emotional, physical, moral, spritual, and cognitive aspects of the child. Good parenting involves a style that considers children's age and stage of development. Good parenting involves a great deal of consistency and routine, which gives children a sense of control. A good parent , often does their best to teach their child how to live life to the fullest. Bad parenting is a series of actions that can seriously harm the child's demeanour and psychology. Bad parenting isn't restricted to a single act; it is a collection of these acts that are usually what contributes to a harmful effect on the child. Thus every intention, and action of a parent impacts children. Below we have brought a collection of day to day child's an...

Character building plan for class 5th:

- Question asked: Mujhe class 5th ke baccho ka Tarbiyat plan dijiye please. Answer by Meta AI (In WhatsApp) Aapke liye main ek tarbiyat plan suggest kar sakta hoon jo class 5th ke bacchon ke liye upyukt ho sakta hai. Sabse pehle, bacchon ko discipline aur time management ke mahatva ke baare mein samjhayein. Unhein ek routine banane mein madad karein jismein padhai, khel, aur aaram sabhi shamil hon. Iske alawa, bacchon ko saaf-safai aur swasthya ke baare mein bhi shikshit karein. Unhein apne kapdon aur juton ko saaf rakhne aur haath dhokar khane ki aadat dalen. Bacchon ko apne emotions ko control karne aur dusron ke saath accha vyavhaar karne ki shiksha bhi dein. Unhein samjhayein ki kaise apne gussa ko control karein aur dusron ki bhavnaon ka samman karein. Yeh plan aapke liye upyukt ho sakta hai, lekin yeh yaad rakhein ki har bachcha alag hota hai aur unki zarooraton ko samajhna zaroori hai. Kya aapko iske baare mein aur kuchh puchhna hai?

Why Reading Books Should Be Part of Your Life:

 Reasons Why Reading Books Should Be Part of Your Life: 1. Knowledge Highway: Books offer a vast reservoir of knowledge on virtually any topic imaginable. Dive deep into history, science, philosophy, or explore new hobbies and interests. 2. Enhanced Vocabulary: Regular reading exposes you to a wider range of vocabulary, improving your communication skills and comprehension. 3. Memory Boost: Studies suggest that reading can help sharpen your memory and cognitive function, keeping your mind active and engaged. 4. Stress Reduction: Curling up with a good book can be a form of mental escape, offering a temporary reprieve from daily anxieties and a chance to unwind. 5. Improved Focus and Concentration: In today's fast-paced world filled with distractions, reading strengthens your ability to focus and concentrate for extended periods. 6. Empathy and Perspective: Stepping into the shoes of fictional characters allows you to develop empathy and gain a deeper understanding of different pers...

Click to read: We have together 850+ Articles, Videos and Resources:

Click below topic you want to read: ⬇️ Download Credence App if not yet downloaded: Browse, read through your area of interest and share the app with your connections.