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E L-LOVELY-H math4-1 IInd 6-8-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

fJekJh^4 L bx[rDe fBy/VB

B'N

T[Zso

4H4 wkgdzve cbB (Parametric Function)

edh^edh x ns/ y d'B'A fe;h fsZih uo okPh d/ cbBK d/ o{g ftZu fdZs/ j[zd/ jB. fJ; fsZih okPh
B{z wkgdzv (Parameter) efjzd/ jB ns/ fJ; soQK d/ ;wheoD wkgdzve ;wheoD ejkT[Ad/ jB.
fJ; soQK d/ ;zpzXK s'A n;hA wkgdzv dk b'gB (elimination) ehs/ fpBK jh dy/dx gsk eo ;ed/
jK.
fit/A, i/eo x = f 1 (t) ns/ y = f 2 (t); fiZE/ t ;[szso uo okPh j? ns/ x ns/ y goszso uo okPhnK
jB sK
dy dy dt dy dx
= . = .
dx dt dx dt dt
fJ; soQK x d/ ;kg/y y dk fBy/VB^r[DKe, wkgdzv d/ ;kg/y y ns/ x d/ fBy/VB^r[DKeK dk Gkrcb
j[zdk j?.
jZb ;fjs T[dkjoD

dy
2
T[dkjoD 1H i/eo x = at ns/ y = 2 at sK gsk eo'.
dx
2
jZb L fJZE/ x = at
d'jK gZyK dk t d/ ;kg/y fBy/VB eoB s/

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