Page 245 - Math Grade 12 (Advance)

PROEUS DARA

m=O

2 X
m .. !» m
x = - - S w y = 1 - - , m E IR '1
2 4
I 0 I Q cJ c/
ffl'i:H ti 'e S t 1=1 ii 6HtHfl ru tlli m tfH ~ H fil tl &!:::! ru
u li1 ...., 'tf
m=4 m = -4

0 Cl Q ~
Mru;p (ii) t~Jtfiltl1Ji1'i:flS9Mtf:li~tiHHS8 '1
u 1 2
" • "" ..., m ""' m""' m .....:~
MfnflJ : ttifflw - 2 = t &S'H flj'i§fil~ X = - 2 stl y = 1-4 !JlliHtttdl
m
o~
2
o
""'
""'
"'
x=t Stl y= 1-t .Mru;)~ (n) ttnru-- =t Sl<('im Stl t 'i:fl2Mt'TTH1Jldtllff!'1
2 tJ (9 1ct
f:ltH 2 g t~Hfiltl iit! rJ~'i:flS g M tf:lid rum '1
u 'tf ~ ~
I
tUtmlfJ,p: finn~t~H filtl ttl ruQ1Sl=lnHLtl ruo rulu P 'e tllttl ru hlfitsi t rn~tlci
,. U U I II "' IJ
'i:flSffi a ttfltllH"eJrut1:11rut'lmilruffl"eti~~1BrutsiQtl~ci '1 t~JtfiltltS8tuTltfl t:fff/ft1
1 II
(Cycloid) '1
Gtllw: mt!mhf.gn e m~mfl1,§onft~rum,§~Brumn5unncr P(x, y) tramcrm
1111 IJ 1 a I IJ I 1i1 "'-"
nmlinL"eru~~urLt~ts '1 tu e = o ts-H P ~msiLncil=lrunL"eru '1 tu e = 1t tS18 P ~n
1 I
tsiljiciUblJluHfim'i:fl (1ta, 2a) '1 cu e = 27t tS18 P tsitrnHnJHlli~hlLnciublJlu

(21ta, 0) '1

ffl'eatitl=lttllmtfl LAPC = 180°-e
u ....,
tlUt28 sine= sin(l80°-e) = sinLAPC = AC = BD
u a a
AP
cose = -cos( 180°- e) = -cosLAPC = -
a
0~ ..
Sl~ AP = -acose stl BD = asine .

£1flfjj~~cits8H"eJrum"eHiiJHlli~hl tl=ltlt!m OD = PD = ae

"ejltlt9Jnt1:11ru BA =DC= a tl=1Q1S: x = OD-BD = ae-asine

y = BA +AP =a-a cose

f:ltHS8 M~fil~mhf.gfi~ X = a(e- sine) stl y = a(l- cose) '1
u

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