100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
Previously searched by you
When creating a PDF title for your Class 12th Science notes and notebook, it's important to be clear and specific so you can easily identify the content later. Here are some suggestions:$45.99
Add to cart
When creating a PDF title for your Class 12th Science notes and notebook, it's important to be clear and specific so you can easily identify the content later. Here are some suggestions:
9 views 0 purchase
Course
SCIENCE
Institution
Well-organized Class 12th Science notebook, containing handwritten notes, solved examples, and important questions. Perfect for Bihar Board exam preparation, this notebook PDF is a valuable resource for quick revisions and in-depth study."
niZ.k osQ i+Qksdl F rFkk /qzo P osQ chp dh nwjh niZ.k dh i+Qksdl nwjh dgykrh gS rFkk bls
f }kjk fufnZ"V fd;k tkrk gSA vc ge ;g n'kkZrs gSa fd f = R/2, ;gk¡ R niZ.k dh oØrk f=kT;k
gSA fdlh vkifrr izdk'k fdj.k osQ ijkorZu dh T;kfefr fp=k 9.4 esa n'kkZ;h xbZ gSA
eku yhft, C niZ.k dk oØrk osaQæ gSA eq[; v{k osQ lekarj ,d izdk'k fdj.k ij fopkj
dhft, tks niZ.k ls M ij Vdjkrh gSA rc CM fcanq M ij niZ.k ij vfHkyac gksxkA eku yhft,
θ vkiru dks.k gS rFkk MD ¯cnq M ls eq[; v{k ij yac gSA rc]
∠MCP = θ rFkk ∠MFP = 2θ
MD MD
vc] tanθ = CD rFkk tan 2θ = FD (9.1)
223
Rationalised 2023-24
, HkkSfrdh
θ osQ y?kq ekuksa osQ fy,] tks fd mik{kh; fdj.kksa osQ fy, lR; gS]
tanθ ≈ θ, tan 2θ ≈ 2θ
blfy, lehdj.k (9.1) ls izkIr gksrk gS
MD MD
=2
FD CD
CD
vFkok, FD = 2 (9.2)
vFkok, θ osQ y?kq eku osQ fy,] fcanq D fcanq P osQ cgqr fudV gS] blfy,
FD = f rFkk CD = R A vr% lehdj.k (9.2) ls izkIr gksrk gS
f = R/2 (9.3)
9.2.3 niZ.k lehdj.k
;fn fdlh fcanq ls vkjaHk gksdj izdk'k fdj.ksa ijkorZu rFkk@vFkok viorZu osQ
i'pkr fdlh vU; fcanq ij feyrh gSa rks og fcanq igys fcanq dk izfrfcac dgykrk
gSA ;fn fdj.ksa okLro esa bl fcanq ij vfHklfjr gksrh gSa rks izfrfcac okLrfod gksrk
fp=k 9.4 (a) vory xksyh; niZ.k] rFkk gSA blosQ foijhr] ;fn fdj.ksa okLro esa ugha feyrha] ijarq ihNs dh vksj c<+k,
(b) mÙky xksyh; niZ.k] ij fdlh vkifrr tkus ij ml fcanq ls vilfjr gksrh izrhr gksrh gaS rks og izfrfcac vkHkklh gksrk
fdj.k osQ ijkorZu dh T;kfefrA gSA bl izdkj fdlh oLrq dk ijkorZu rFkk@vFkok viorZu }kjk LFkkfir izfrfcac
ml oLrq dk fcanq&nj&fcanq rnuq:i gksrk gSA
fl¼kar :i es]a ge oLrq osQ fdlh ¯cnq ls fudyus okyh dksbZ nks fdj.ksa ys ldrs gS]a muosQ
iFk vuqjfs [kr djrs gS]a mudk izfrPNsn fcanq Kkr djrs gSa vkSj bl izdkj] fdlh xksyh; niZ.k }kjk
ijkorZu osQ dkj.k cuk fdlh fcanq dk izfrfcac izkIr djrs gSAa rFkkfi] O;ogkj esa fuEufyf[kr fdj.kksa
esa ls dksbZ lh nks fdj.ksa ysuk lqfoèkktud gksrk gS%
(i) fdlh fcanq ls vkus okyh og fdj.k tks eq[; v{k osQ lekarj gSA ijkofrZr fdj.k niZ.k
osQ i+Qksdl ls xq”kjrh gSA
(ii) og fdj.k tks fdlh vory niZ.k osQ oØrk osQa æ ls xq”kjrh gS vFkok mÙky niZ.k osQ oØrk
osaQæ ls tkrh izrhr gksrh gSA ijkofrZr fdj.k osQoy viuk iFk iqu% vuqjsf[kr djrh gSA
(iii) og fdj.k tks fdlh vory niZ.k osQ eq[; i+Qksdl ls xq”kjrh gS vFkok mÙky niZ.k osQ
eq[; i+Qksdl ls xq”kjrh (dh vksj fn"V) izrhr gksrh gSA ijkofrZr fdj.k eq[; v{k osQ
lekarj xeu djrh gSA
(iv) dksbZ fdj.k tks /qzo ij fdlh Hkh dks.k ij vkifrr gksrh gSA
ijkofrZr fdj.k] ijkorZu osQ fu;eksa dk ikyu djrh gSA
fp=k 9.5 ¯cc osQ ¯cnq A ls fudyus okyh rhu fdj.kksa dks
è;ku esa j[kdj fdj.k&vkjs[k n'kkZrk gSA blesa vory niZ.k }kjk
cuk;k x;k fcac AB dk izfrfcac A′B′ (bl fLFkfr esa okLrfod)
n'kkZ;k x;k gSA bldk ;g vFkZ ugha gS fd fcanq A ls osQoy rhu
fdj.ksa gh fudyrh gSAa fdlh Hkh lzkrs ls lHkh fn'kkvksa esa vuar fdj.ksa
fudyrh gSaA vr% ;fn fcanq A ls fudyus okyh izR;sd fdj.k] vory
niZ.k }kjk ijkorZu osQ i'pkr ¯cnq A′ ls gksdj xq”kjrh gS rks fcanq A′
fcanq A dk okLrfod izfrfcac gSA
vc ge niZ.k lehdj.k vFkok fcac nwjh (u), izfrfcac nwjh (v)
rFkk i+Qksdl nwjh (f ) osQ chp laca/ O;qRiUu djsaxsA
fp=k 9.5 ls] nksuksa ledks.k f=kHkqt A′B′F rFkk MPF le:i
fp=k 9.5 fdlh vory niZ.k }kjk izfrfcac jpuk dk gSaA (mik{kh; fdj.kksa osQ fy,] MP dks ljy js[kk CP osQ yacor
fdj.k vkjs[k ekuk tk ldrk gSA) vr%
224 B ′A ′ B ′F
=
PM FP
Rationalised 2023-24
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller uttamyadav. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $45.99. You're not tied to anything after your purchase.
