cap1.7(3)
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79
Forma generală:
( ) ( ) 220
20 ryyxx =−+− are centrul în ( )00 , yxC şi raza r.
Fig. 13
3. Elipsa. Are ecuaţia:
2
222222
11a
xaax
by
by
ax −
=
−=
⇒=
+
Fig. 14
( ) 222,12
22
xaabxy
axa
by
−±=⇒−
±= .
4. Hiperbola are ecuaţia:
⇒−
=
⇒−
=
⇒=
−
2
2222222
11a
axby
ax
by
by
ax
222,12
22
: axabysau
aax
by
−±=−
±=⇒ .
Hiperbola are asimptotele:
x
y
x0
y0
x
y 22
1 xaaby −=
222 xa
aby −−=
-a a
b
-b