Lecture notes
Hyoerbola Notes
- Module
- Institution
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
[Show more]
Seller
Follow
himanshudadhich
Content preview
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%÷→
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 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 himanshudadhich. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for £2.83. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
75759 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy revision notes and other study material for 14 years now