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Hyoerbola Notes
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It is the pdf where you can find most relevant information, tricks and questions of hyoerbola which are needed to crack exams based on 11th and 12th class
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aih-2hny-by2-2gx-2fy-C-oi.JP}
-1-0 condition for which
) it >
ii ab a 2nd degree curve
iii ) e > I
represent a Hyperbola .
}
Note : if a+b=°
=
& e- V2
Rectangular
Hyperbola
,
Definition : The locus of a point .* .
Pchik)
in a plane so that the difference of its
•
•
distance from two fixed Point is always Fatso) Filho
remain constant
/ PF Pfa /
.
,
-
=
Const .
, / PF, -
Pfz / = Const . = 29
1,1*54-1=-44-04%1--2 a
!bbIth side & solve
squaring
3¥ -
¥-aa= I let E- AIR
I.
+ ve
; c> a
if -
¥2 =\ where F- E- of > °
To C> a
,H:
'÷→÷= "
conjugate Axis
- Directrix Directrix
-
13,10 b)
,
latus latus
rectum rectum
transverse
• ② • •
0° Axis
• a
C- Cio) Fa AL EÉD ⇐ id Ai Ficco)=(qe
,
(aid
,
far)
=
-(ae,o)
-
Bato b)
,
-
ale
•
x= > c-
He
-
\
* H
:# Igel -
is symmetric about ✗ & y axis .
* Files are focii of Hyperbola
, * line
joining F, &Fz Focal Axis
*
/ Fifa = Lae
&PFz Focal distance
* PF,
* Ai & Az Vertices of Hyperbola
of transverse Axis
*
/ AAH 2A =
length
is called centre @ )
o
* Mid point of Ai Ae
axis
Ai Ae is called conjugate .
* I Bisector of
2b tenth of conjugate axis
Biba
=
*
are called as principal axes
& T.A. together
.
* c. A .
Eccentricity It measure the curvature of the curve
:e=÷=%:¥÷%:÷÷e%÷→
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