commonReferenceGK

Useful formulas for 8^th, 9^th and 10^th students:

(α+в+¢)²= α²+в²+¢²+2(αв+в¢+¢α)

(α+в)²= α²+2αв+в²
(α+в)²= (α-в)²+4αв b
(α-в)²= α²-2αв+в²
(α-в)²= f(α+в)²-4αв
α² + в²= (α+в)² – 2αв.
α² + в²= (α-в)² + 2αв.
α²-в² =(α + в)(α – в)
2(α² + в²) = (α+ в)² + (α – в)²
4αв = (α + в)² -(α-в)²
αв ={(α+в)/2}²-{(α-в)/2}²
(α + в + ¢)² = α² + в² + ¢² + 2(αв + в¢ + ¢α)
(α + в)³ = α³ + 3α²в + 3αв² + в³
(α + в)³ = α³ + в³ + 3αв(α + в)
(α-в)³=α³-3α²в+3αв²-в³
α³ + в³ = (α + в) (α² -αв + в²)
α³ + в³ = (α+ в)³ -3αв(α+ в)
α³ -в³ = (α -в) (α² + αв + в²)
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

ѕιη2α = 2ѕιηα¢σѕα
¢σѕ2α = ¢σѕ²α − ѕιη²α
¢σѕ2α = 2¢σѕ²α − 1
¢σѕ2α = 1 − ѕιη²α
2ѕιη²α = 1 − ¢σѕ2α
1 + ѕιη2α = (ѕιηα + ¢σѕα)²
1 − ѕιη2α = (ѕιηα − ¢σѕα)²
тαη2α = 2тαηα / (1 − тαη²α)
ѕιη2α = 2тαηα / (1 + тαη²α)
¢σѕ2α = (1 − тαη²α) / (1 + тαη²α)
4ѕιη³α = 3ѕιηα − ѕιη3α
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

Abbreviations:

A. — Bachelor of Arts
A. — Master of Arts
Sc. — Bachelor of Science
Sc. — Master of Science
Sc. Ag. — Bachelor of Science in Agriculture
Sc. Ag. — Master of Science in Agriculture
B. B. S. — Bachelor of Medicine and Bachelor of Surgery
D. — Doctor of Medicine
S. — Master of Surgery

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

Litt./Lit. — Doctor of Literature / Doctor of Letters
Sc. — Doctor of Science
Com. — Bachelor of Commerce
Com. — Master of Commerce

Dr. — Doctor

P. — Blood Pressure

Mr. — Mister

Mrs. — Mistress

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

Miss — used before unmarried girls)

P. — Member of Parliament
L. A. — Member of Legislative Assembly
L. C. — Member of Legislative Council
M. — Prime Minister
M. — Chief Minister

C-in-C — Commander-In-Chief

D. C. — Lower Division Clerk
D. C. — Upper Division Clerk

Lt. Gov. — Lieutenant Governor

M. — District Magistrate
I. P. — Very Important Person
T. O. — Income Tax Officer
I. D. — Criminal Investigation Department

C/o — Care of

S/o — Son of

B. I. — Central Bureau of Investigation
P. O. — General Post Office
Q. — Head Quarters
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

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 Divison 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

MAA=Mehboob Anwar Ansari

MP3 = MPEG player lll

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 – UninterruptiblePower Supply.

☀ HSDPA -High Speed Downlink PacketAccess.

☀ EDGE – Enhanced Data Rate for

☀ GSM- [Global System for Mobile Communication]

Evolution.

☀ VHF – Very High Frequency.

☀ UHF – Ultra High Frequency.

☀ 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 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 226022

Lord Krishna Bank -1800 112 300

Punjab National Bank – 1800 122222

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-h1800 444 683

Canon -1800 333 366

Cisco Systems- 1800 221 777

MEDICAL FITNESS PREVENTION IS BETTER THAN CURE

***********************

” CHOLESTEROL ”

”””””””””””””””””””””””””’

Cholesterol — < 200

HDL — 40 — 60

LDL — < 100

VLDL — < 30

Triglycerides — < 150

***********************

CHOLESTEROL

———————

Borderline –200 — 239

High —- > 240

V.High — > 250

—————————–

LDL

——

Borderline –130 —159

High — 160 — 189

V.High — > 190

—————————–

TRIGLYCERIDES

.****************

Borderline – 150 — 199

High — 200 — 499

V.High — > 500

—————————– PLATELETS COUNT

******************(

1.50 Lac —- 4.50 Lac

—————————- BLOOD

———–

Vitamin-D — 50 —- 80

Uric Acid — 3.50 — 7.20

——————————

KIDNEY

———-

Urea — 17 — 43

Calcium — 8.80 — 10.60

Sodium — 136 — 146

Protein — 6.40 — 8.30

—————————–

HIGH BP.

**********

120/80 — Normal

130/85 –Normal (Control)

140/90 — High

150/95 — V.High

——————————-

LOW BP

**********

120/80 — Normal

110/75 — Normal (Control)

100/70 — Low

90//65 — V.Low

——————————-

SUGER

**********

Glucose (F) — 70 — 100 (12 hrs Fasting)

Glucose (PP) — 70 — 140 (2 hrs after eating)

Glucose (R) — 70 — 140 (After 2 hrs)

——————————–

HAEMOGLOBIN

*****************

Male — 13 — 17

Female — 11 — 15

RBC Count — 4.50 — 5.50 (million)

—————————-

PULS

——–

72 per minute (standard)

60 — 80 p.m. (Normal)

40 — 180 p.m.(abnormal)

—————————-TEMPERATURE —————–

98.4 F (Normal)

99.0 F Above (Fever)