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Let & be the angle between the 2 mirrors.
The following table will help U find the no. of images.
n = 360/& Position of object No. of images
even anywhere n-1
odd symmetric n-1 asymmetric n
fraction anywhere [n] where [.] represents GIF
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Consider the example:
The lines whose equations are x+y=1,2x-y=3,2x+3y=6 & 3x+4y=5 (a) form a trapezium (b) form a rectangle (c) are concurrent (d) form a quadrilateral
Since no 2 pairs of lines are parallel,the first 2 options are eliminated.Now,if the point of a pair of lines is the same as the point of intersection of the other 2 lines then the 4 lines are concurrent,otherwise the lines form a quadrilateral.In this case U will find that option (d) is the most appropriate.
This is known as process of elimination. Hope U got it now...
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Just as all the covalent bonds have some partial ionic character,the ionic bonds also have partial covalent character.The partial covalent character of ionic bonds is given by FAJAN'S rule.
The rule states that :
1.The smaller the size of the cation and the larger the size of the anion,the greater the covalent character of the ionic bond. 2.The greater the charge on the cation,the greater the covalent character of the ionic bond. 3.For cations of the same size and charge the one with electronic config. typical of transition elements, is more polarising than the one with a noble gas config. which is typical of alkali and alkaline earth metal cations.
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Yes the answer is FALSE.
{(TRUE AND FALSE)} AND {TRUE OR (NOT TRUE)}
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The computer exam is on 31st for everyone,irrespective of delhi or outside delhi.
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Here are some of the full forms in communication chapter :
SIM - Subscriber Identification Module IDEN - Integrated Digital Enhanced Network WAIS - Wide Area Information System ISDN - Integrated Services Digital Network PDA - Personal Digital Assistant URI - Uniform Resource Identifier URN - Uniform Resource Name URL - Uniform Resource Locator OSI - Open System Interconnections MIME - Multipurpose Internet Mail Extensions LD - Laser Diode VFIR - Very Fast Infra Red ISP - Internet Service Provider SNA - Systems Network Architecture NIC - Network Interface Card PSTN - Public Switched Telephone Network DHTML - Dynamic HTML UMTS - Universal Mobile Telecommunications System SMSC - Short Message Service Center HLR - Home Location Register WCDMA - Wideband CDMA CDMA - Code Division Multiple Access HTML - Hyper Text Markup Language BNC connector - Bayone Neill Concelman connector AUI connector - Attachment Unit Interface connector ARPAnet - Advanced Research Projects agency Network UTP - Unshielded Twisted Pair Cable STP - Shielded Twisted Pair Cable DGM - Data Grade Medium VGM - Voice Grade Medium TAP - Terminal Access Point CTS signal - Clear To Send signal CR signal - Carrier Detect Signal RTS signal - Request To Send Signal DSR signal - Data Set Ready Signal DTR signal - Data Terminal Ready Signal NSFnet - National Science Foundation network DCE - Data Communication Equipment DTE - Data Terminal Equipment TDMA - Time Division Multiple Access FTP - File Transfer Protocol GSM - Global System for Mobile LAN - Local Area Network WAN - Wide area Network MAN - Metropolitan Area Network XML - eXtensible Markup Language WLL or WiLL - Wireless in Local Loop 3G - Third Generation mobile communications technology SMS - Short Message Service EDGE - Enhanced Data rates for Global Evolution PPP - point to Point Protocols SLIP - Serial Line Internet Protocol NCP - Network Control Protocols IPCP - IP control Protocol LCP - Link Control Protocol TCP/IP - Transmission Control Protocol/Internet Protocol HTTP - Hypertext Tranfser Protocol PBX - Private Branch Exchange GUI - Graphical User Interface WWW - World Wide Web bps - bits per second Bps - Bytes per second
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Let f(x) = integral of (ln t)/(1+t) dt from 1 to x.
Then find f(e)+f(1/e).
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You will have to use complex numbers to solve this integral.
The integral can be represented as the real part of ecos&{cos(sin&)+isin(sin&)} d&
=real part of ecos&.eisin& d&
=real part of ecos&+isin& d&
=real part of e power ei& d&
=real part of {1+ ei&/1! + e2i&/2! + ...... } d&
={1+ cos&/1! + cos2&/2! + ......} d& [considering the real part of the above expr.]
=& + sin& + (1/2!)[sin2&/2] + ...... -----> 1
Now applying the proper limits we get the first term of 1 to be 2 pi and all other terms 0. Cheers!!!!!!!
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Ok friends, the answer is 2 pi.
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P.Bahadur is the best for physical chemistry.
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Hey where are you all guys???????
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Integrand : ecos& cos(sin&)
Limits : Lower limit- 0 Upper limit- 2 pi
Variable of integration : &
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Let X denote the figure which does not recur and assume they are l in number. Let Y denote recurring period of consisting of m figures. Let R denote the value of the recurring decimal. Then, R=0.XYYY Therefore, 10lR=X.YYY --- 1 And, 10l+m.R=XY.YY --- 2 Subtracting 1 from 2 we get, R=(XY-X)/(10l+m - 10l).
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