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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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ಪ್ರೊ. ಕೆ. ಎಸ್. ನಿಸಾರ್ ಅಹಮದ್ ರವರ ಜೀವನ-

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- ಪ್ರೊ.  ಕೆ. ಎಸ್. ನಿಸಾರ್ ಅಹಮದ್ ಪ್ರೊ.ಕೆ.ಎಸ್.ನಿಸಾರ್ ಅಹಮದ್ (5 ಫೆಬ್ರುವರಿ 1936 - 3 ಮೇ 2020) ಕನ್ನಡದ ಪ್ರಮುಖ ಸಾಹಿತಿಗಳಾಗಿದ್ದರು. ಅವರ ಪೂರ್ಣ ಹೆಸರು 'ಕೊಕ್ಕರೆಹೊಸಳ್ಳಿ ಶೇಖಹೈದರ ನಿಸಾರ್ ಅಹಮದ್'. ಅವರು ಬರೆದ 'ಜೋಗದ ಸಿರಿ ಬೆಳಕಿನಲ್ಲಿ ತುಂಗೆಯ ತೆನೆ ಬಳುಕಿನಲ್ಲಿ' ಎಂಬ ಪದ್ಯವು ಬಹಳ ಜನಪ್ರಿಯವಾಗಿ ಅವರು ನಿತ್ಯೋತ್ಸವ ಕವಿಯೆಂದೂ ಕರೆಯಲ್ಪಡುತ್ತಿದ್ದರು. Image source: Online typing ಜೀವನ- ಪ್ರೊ. ನಿಸಾರ್ ಅಹಮದ್ ಬೆಂಗಳೂರು ಜಿಲ್ಲೆಯ ದೇವನಹಳ್ಳಿಯಲ್ಲಿ ಫೆಬ್ರುವರಿ ೫, ೧೯೩೬ ರಲ್ಲಿ ಜನಿಸಿದರು. ೧೯೫೯ ರಲ್ಲಿ ಭೂವಿಜ್ಞಾನದಲ್ಲಿ ಸ್ನಾತಕೋತ್ತರ ಪದವಿ ಪಡೆದರು. ೧೯೯೪ ರ ವರೆಗೆ ವಿವಿಧ ಸರಕಾರಿ ಕಾಲೇಜುಗಳಲ್ಲಿ ಅಧ್ಯಾಪಕ ಹಾಗು ಪ್ರಾಧ್ಯಾಪಕರಾಗಿ ಕೆಲಸ ಮಾಡಿ ನಿವೃತ್ತರಾದರು.             ಜನನ 5 ಫೆಬ್ರುವರಿ 1936 ದೇವನಹಳ್ಳಿ, ಮೈಸೂರು ಸಂಸ್ಥಾನ, ಬ್ರಿಟಿಷ್ ಇಂಡಿಯಾ              ಮರಣ 3 ಮೇ 2020 (ವಯಸ್ಸು 84)[೧] ಬೆಂಗಳೂರು ವೃತ್ತಿ ಸಾಹಿತಿ, ಪ್ರೊಫೆಸರ್ ಭಾಷೆ ಕನ್ನಡ ರಾಷ್ಟ್ರೀಯತೆ ಭಾರತ ಪ್ರಕಾರ/ಶೈಲಿ Fiction ಸಾಹಿತ್ಯ ಚಳುವಳಿ ನವ್ಯ ಕಾವ್ಯ ಪ್ರಮುಖ ಕೆಲಸಗಳು ಮನಸು ಗಾಂಧಿ ಬಜಾರು(1960) ನಿತ್ಯೋತ್ಸವ ಪ್ರಮುಖ ಪ್ರಶಸ್ತಿಗಳು ಪದ್ಮಶ್ರೀ (೨೦೦೮), ರಾಜ್ಯೋತ್ಸವ (೧೯೮೧) ಕೆಲವು ಸಾಹಿತ್ಯಗಳು : ನಿಸಾರ್ ಅಹಮದ್  ...
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Teaching children to be creative:

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 - Creativity is the ability to think about a task or a problem in a new or different way, or the ability to use the imagination to generate new ideas.  'Creativity allows us to view and solve problems more openly and with innovation. Creativity opens the mind. A society that has lost touch with its creative side is an imprisoned society, in that generations of people may be closed minded'. Being creative means you are open to expressing yourself and investigating the world around you. It can also mean you work to find a new and better way of answering a question or solving a problem. Children who experience stress may experience health problems and develop a bad attitude toward learning. The researchers also found that spending too much time on homework meant that students were not meeting their developmental needs or cultivating other critical life skills. Students were more likely to forgo activities, stop seeing friends or family, and not participate in hobbies. Old one bu...
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Who is Sir Hajee Ismail Sait of Bangalore:

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 - 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...
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School Library suggested list for Indian schools for classes 6th to 10th standard:

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  ##  - Book Suggestions for a School Library in India for classes 6-10. Here are some book suggestions, focusing on core subjects and Indian languages, to enrich your school library:  1.  Works by renowned Indian authors in various languages (Hindi, english, regional languages etc.) 2. Language Reference Books:       * Dictionaries (English, Hindi, regional languages)       * Thesauruses       * Grammar books     * English communication books        * Writing guides      * Essay writing books   3. Science:       * Biographies of famous scientists (e.g., Einstein, Curie)       * Books on specific scientific topics (e.g., astronomy, biology, chemistry) 4. Mathematics:       * Mathematical puzzles and brain teasers       * History of mathematics       * Books on the practical applications of mathematic...
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