Important Formulas Class 10 Notes | EduRev

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Class 10 : Important Formulas Class 10 Notes | EduRev

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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

"महत्वपूर्ण"..

» 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

☀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
Bose Audio - 112 673
Bru Coffee Vending Machines - 1800
4 7171
Daikin Air Conditioners - 1800 444
222
DishTV - 1800 123 474
Faber Chimneys - 1800 214 595
Godrej - 1800 225 511
Grundfos Pumps - 1800 334 555
LG - 1901 180 9999
Philips - 1800 224 422
Samsung - 1800 113 444
Sanyo - 1800 110 101
Voltas - 1800 334 546
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