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General information - Maths formula, abbreviations etc

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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


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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


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☀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


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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.


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How Going Bookless Transforms Student Learning:

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- Eyes on the class, Not the Page: The Case for Bookless Teaching Let’s be honest: there’s a massive difference between a teacher who is locked into a textbook and one who is fully locked into the classroom. When we teach with our eyes glued to a page, we’re often just managing a script; but when we put the book down, the classroom instantly shifts from a formal lecture into a living, breathing conversation. It takes a little courage to step away from the safety net of printed chapters, but the payoff in raw student connection and active memory recall is unmatched. Going "bookless" in a classroom—whether you're the student or the teacher—is a bold move that shifts the energy from passive reading to active engagement.  While books are incredible resources, stepping away from them during a live session offers some unique psychological and social advantages. 1. Heightened Active Listening When there isn’t a text to follow along with, the brain is forced to process informatio...
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