Deriving the Equation of a Hyperbola

If you want to algebraically derive the general equation of a hyperbola but don't quite think your students can handle it, here's a derivation using numbers that is 20% easier than the full derivation.

[@syedhanan1281]

Thank you sir.👌👍
Its best vedio i know so far for hyperbola.
👌

[@GeoCalifornian]

You’re doing God’s work William Rose... thank you for your simple explanation!
/geo ex machina

[@malackchagwa478]

nice one Sir

[@IsmailPbx]

Should it not be f1p - pf2 = F1B - Bf2?

[@gdemrakul2824]

good complete explanation

[@gabarsingh3313]

Marvelous explanation....👍

[@danieltambunan9717]

why do we define b^2 = c^2 - a^2 ? does it has something to do with pythagorean theory?

[@dodecahedra]

You don't have to. It's a matter of convenience. c²-a² appears in the formula. You could leave it as:
[ x/a ]² - [ y/√(c²-a²) ]² = 1
But then the question arises what √(c²-a²) is. So it's natural to give that a name like 'b' and then figure out what b is.

[@saqibsafi1433]

your explanation is very Understandable ... Thanks sir

[@MelonFaux]

Is there any derivation of a vertical transverse axis for this?

[@knownstranger2570]

Yes i need that too

[@shannenpolicarpio3092]

thank you so much!❤️ I wouldn't have answer my work if it weren't for u❤️

[@GoogleAccount-xg2qm]

Sir,how you came to know
F1P - PF2=BF1 - BF2 ?
Many many love from India❤️❤️❤️❤️😊

[@gandharvtalikoti9815]

tqsm sir !
cleared hyperbola concept !!
love u!!!

[@AD-zh1cm]

Thank you for your explanation

[@petafrica.5347]

Good job bro..u made my conc concept well

[@evalsoftserver]

VECTOR formed Space Formsa GEOMTRIZATION of vectors space as Cotangent BUNDLES on a Equilateral

[@nathaniel9564]

Awesome explanation! I understand hyperbola a lot more now. Thanks a bunch!

[@ranisahiba934]

hi dear can u help me in derivation of hyperbola and parabola polar form equation

[@computerlover9290]

what do you mean by polar?maby i can help you with

[@gabarsingh3313]

az al by polar it means in terms of angles....a line makes with the x axis and y axis

[@surendrakverma555]

Very good. Thanks

[@hamzaijaz2314]

Sir you explained well
Thankyou so much

[@siddharthpenmetsa6435]

thank you

[@grassy556]

Those straight lines tho...

[@anjanashiva9516]

When we calculate F1 to B... How would you get 8 as the answer...?
But I think it's 3+(-5) =-2.. I don't know correctly.... If someone will see my comment plz response to it.. 🙏

[@harrisonpatricio8163]

Distance is equal to the absolute value of the difference.

[@jayebug-os5885]

Why is the 6 became 36 + 12 , pls help me , I dont really get the idea

[@dodecahedra]

I squared both sides of the equation. (6 + s)^2 = 36 + 12s + s^2

[@musataz]

thanks a lot.

[@pontymoyal]

Thanks

[@computerlover9290]

thank you so muchhhhhhhhhhh.it helped a lot

[@shubodhs7444]

ಸಂದಾಗ್ ಯಾಳ್ಕ್ವಟ್ರಿ ಕಣ್ ಬುಡ್ರೀ

[@shivarajubm3645]

thank u

[@animeshbiradar7446]

It can be derive in like 5 min not half an hour

[@sn4pper_official]

Why there is a 36,12 at the other temrs.. you add it to the equation without saying why 🙂

[@IsmailPbx]

You square both sides entirely, you dont square each term individually

[@teruelryanpaul]

Why am i thinking of shane from bzzfeed unsolved

[@sumanthaluri8398]

Wow