(a+b) 2 =a 2 +b 2 +2ab SRyxI – A`TvIN ivSw – gixq hrdIp kor ssss AYm.AYs gyt, AimRqsr.

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divMdr isMG mnIS isMG suKivMdr isMG am pRkwS pRsoqm isMG DIrj kumwr pRdIp isMG AmndIp isMG hrpRIq isMG kySv Srmw.
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Mu`K audXog klws A`TvI ivSw-smwijk is`iKAw iqAwr krqw :- rwjkumwr,sunIl,rYnU,idlSwd,pMkj AiDAwpk dw nW:- sRI mqI AmrjIq kOr skUl dw nW s.h.s.Gws mMfI pitAwlw.
gYsW dy pRsrx nMU smJwauxw jmwq : CyvIN ivSw : ivigAwn AiDAwie : 5 AMnjnw jOSI swieMs imstRYs s.s.s.s. BwdsoN pitAwlw[
SrkwrI hweI skUl bnyrw Kurd jmwq –nOvI ivSw-swieMs aupivSw- qrMgw, DunI qy gqI.
SrkwrI hweI skUl.AlMmdIpur jmwq dsvIN ivSw smwijk is`iKAw ividAwrQIAW dy nW:gurivMdr kor,kuldIp kOr,eykqw Srmw,bljIq kOr.
IvSw:smwijk is`iKAw ivSw:smwijk is`iKAw SRyxI-A`TvI SRyxI-A`TvI AiDAwie nM:-15 AiDAwie nM:-15 AiDAwie dw nwm-1857eI. dw ivdroh AiDAwie dw nwm-1857eI. dw.
pdwrQW dw inKyVn jmwq - CyvIN AiDAwie -6 ivSw - swieMs mDU cOpVw swieMs imstRYs gO. hweI. skUl QUhI.
sMpUrn sMiKAwvW jmwq:- CyvIN ivSw : gixq AiDAwie- 2 sRImqI kYlwS rwxI mYQ imstYRs s.s.s.s. bnMUV mohwlI.
(a+b) 2 =a 2 +b 2 +2ab SRyxI – A`TvIN ivSw – gixq hrdIp kor ssss AYm.AYs gyt, AimRqsr.
AMgryzW Aqy is`KW dy sMbMD 1809 eI: qoN 1839 eI: q`k ivSw: smwijk is`iKAw klws: 10vIN AiDAwpk: rwmgopwl srkwrI hweI skUl BUpwl izlw: mwnsw.
©A. Weinberg idn Aqy rwq ©A. Weinberg DrqI au`qy bdlwau dw pRBwv DrqI au`qy keI bdlwau holI Aqy keI qyj huMdy hn[
Jmwq : 9vIN ivSw : pMjwbI ivSw AiDAwpk : hrijMdr kOr (pMjwbI imstRYs) glI iv~c {pMifq srDw rwm iPlOrI} srkwrI hweI skUl, PrvwlI (sMgrUr)
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sRImqI gurivMdr kor (pMjwbI imstYRs) s.h.s buryvwl ividAwrQI:- ArsdIp isMG, rnjIq isMG SRyxI – ATvIM ivSw: pMjwbI pRojYkt iqAwr krqw.
bWdr qy mgrm`C pRojYkt iqAwr krqw s. Blkwr isMG (pMjwbI mwstr) s.h.s mMgupur ividAwrQI:- gurdIp kor, mnpRIq kor SRyxI – ATvIM ivSw: pMjwbI.
suirMdr kor g.h.skUl boVwvwl AiDAwpk rwjvIr kor ividAwrQI nwm nvdIp isMG nvjoq isMG lvpRIq isMG.
SMBwvnw klws: novI ivSw: ihswb skUl :s.s.s.skUl bwgovwnI AiDAwpk : prmjIq kOr izlw: gurdwspur.
Bwrq rqn:fw.BIm rwa AMbydkr g.h.skUl burz hrI AiDAwpk krmjIq kOr ividAwrQI nwm kuldIp kor puSipMdr kor bIrpwl kor.
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pwT-9 ivSw: pMjwbI skUl : g.h.s mkbUlpurw ijlHw: AMimRqsr
g. h. s nOishrw Kurd sOrv (pMjwbI mwstr) ividAwrQI :- rvI kumwr, nryS kumwr, rwjyS kumwr klws - 8vIN pwT - 1 ivSw - pMjwbI.
s. joigMdr isMG (pMjwbI mwstr) ividAwrQI:- prmIq kor, prmjIq kor
srkwrI sInIAr sMkYfrI skUl (cMdUmwjrw) AiDAwie=12 kolw Aqy pYtrolIAm ivSw =ivigAwn suKivMdr kOr swieMs imstRYs.
pRojYkt iqAwr krqw sRImqI AmndIp kor (pMjwbI imstYRs) s.s.s.s. busovwl ividAwrQI:- shIdIp kor, insHw rwxI SRyxI – ATvIM ivSw: pMjwbI.
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jwqI pRQw nMU cuxOqI iqAwr krqw hrdIp isMG (smwijk is`iKAw mwstr) srkwrI hweI skUl dburjI lubwnw pwT: 18 jmwq: A`TvIN ivSw: smwijk is`iKAw.
Awieq dy KyqrPl dw sUqr sQwipq krnw[ SRyxI – A~TvI AiDAwie nM: 14 AiDAwie dw nwm : KyqrPl milkw bwlI s.s.s.s. gVHw, jlMDr.
KyqIbw VI DrmvIr( s.s. mwstr) srkwrI hweI skUl roSIAwxw ivSw- smwijk is`iKAw klws- A`TvIN.
dsqkwrI Aqy audXog iqAwr krqw SRI kmljIq isMG smwijk isiK`Aw AiDAwpk srkwrI sYkMfrI skUl JunIr sMcwr klws- A`TvIN ivSw- smwijk isiK`Aw pwT-
klws : CyvIˆ ivSw : ivigAwn AiDAwie : 10 Bojn dy AMS Aqy sMquilq Bojn dI jwxkwrI srkwrI hweI skUl mholI klw(sMgrUr) ivSw AiDAwpk :-sRI jsbIr isMG.
iqRBuj dIAW sMgwmI ryKwvW iqAwr krqw: mYQ mwstr gurivMdr isMG mobwiel nM: s.h.skUl blh`fw ijlw huisAwrpur ivSw :gixq jmwq :novIN AiDAwie :9.
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imSirq ivAwj klws:-8 vIN ivSw:-gixq AiDAwie:-6 iqAwr krqw:- snyh lqw (mYQ imstrs) s.s.s. gMFUklW, mwnsw ividAwrQI:- rwjdIp isMG gurpRIq isMG hrpwl kOr.
klws : nOvIN AiDAwie : nOvW ie`k cl vwly GwqI smIkrx AnU FWfw mYQ imstYRs s.s.s.skUl, mnsUrW.
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ryKw gixq rcnwvW (Geometrical Constructions) AiDAwpk :crnjIq isMG ividAwrQI :- qrndIp kOr,mnpRIq kOr jmwq : nOvIN AiDAwie :14 ikirAw :14.1 srkwrI kMinAw.
AwvrqI gqI dw igAwn krwauxw klws : CyvIN ivSw : ivigAwn AiDAwie : 3 ivjY kumwr (swieMs mwstr) srkwrI hweI skUl gdwpur, pitAwlw.
iqAwr krqw sRI. mqI ismrq kOr imstYRs - gixq srkwrI hweI skUl bRwhmxw dI bwsIAW KrV Aqy AmYirkn ieMfIAw PwaUNfySn trst.
Mn dIAW mn ivc iekWgI dw ivSw vsqU pRsquq krqw : fw. jspwl isMG klws : bI. ey.pihlw swl (ielYkitv)
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AB 11 22 33 44 55 66 77 88 99 10  20  19  18  17  16  15  14  13  12  11  21  22  23  24  25  26  27  28.
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1857 eI. dw ivdroh SyxI- A`TvI ivSw-smwijk AiDAwie dw nMbr- 15 AiDAwie dw nwm eI. dw ivdroh srkwrI hweI skUl(gurid`q purw n`iqAw)
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ivSw : qUqW vwlw Kuh nwvl dw nwiek pRsquq krqw : fw.jspwl isMG klws : bI.ey.pihlw swl (ielYkitv)
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Presentation transcript:

(a+b) 2 =a 2 +b 2 +2ab SRyxI – A`TvIN ivSw – gixq hrdIp kor ssss AYm.AYs gyt, AimRqsr

loVINdI sm`grI rMgdwr kwgz dI SIt kYNcI jumYtrI bwks PYvIkol Qrmokol dI SIt

iek sPYd kwgz dI SIt lE

ies au`qy ie`k vrg iK`co

ies vrg nUM k`t lE

ies vrg nMU do vrgW qy do AwieqW iv`c vMf lE

mMn lE iek vrg dI Bujw a hY

A

Awieq dI lMbweI b qy cOVweI a mMn lE

B A A

mMn lE dUjy vrg dI Bujw b hY

B A B B A

ies qrW dUjy Awieq dI lMbweI b qy cOVweI a ho jwvygI

A B A A B B B

B B B BA A A A A² B² AB

kYNcI nwl k`t lE

Bujw a vwly vrg dy mwp dw rMgIn kwgz k`t lE

a Bujw vwly vrg dy mwp dy k`ty hoey rMgIn kwgz nMU icpkw dE

31 AiBAws

32 hyT ilKIAW sMiKAwvW dw vrg sUqr (a+b)2=a2+2ab+b2 dI shwieqw nwl pqw kro:

33 au~qr