I
iTeachChemβ€’7d ago
flower

Parabola Locus problem

absolutely no clue on how this can be done πŸ’€
No description
24 Replies
iTeachChem Helper
iTeachChem Helperβ€’7d ago
@Apu
iTeachChem Helper
iTeachChem Helperβ€’7d ago
Note for OP
+solved @user1 @user2... to close the thread when your doubt is solved. Mention the users who helped you solve the doubt. This will be added to their stats.
SirLancelotDuLac
SirLancelotDuLacβ€’7d ago
Take two parametric points and use t1 t2=-1 iirc
flower
flowerOPβ€’7d ago
ohhhhhhhh right ok lemme try but one problem iska figure mujhe samajh nahi aa raha kaise banega πŸ’€ cant visualise ;-; and its t1 t2 = 2
SirLancelotDuLac
SirLancelotDuLacβ€’7d ago
Ah right 😭
flower
flowerOPβ€’7d ago
were much more used to it being 1 or -1 lol i got it wrong as well in tests
SirLancelotDuLac
SirLancelotDuLacβ€’7d ago
No description
SirLancelotDuLac
SirLancelotDuLacβ€’7d ago
(Focal cord is the dotted line)
flower
flowerOPβ€’7d ago
ohhh okok @SirLancelotDuLac t1 t2 = 2 nahi laga sakte idhar cuz we can only apply that when intersection of normal lies on the parabola 🚨 🚨
SirLancelotDuLac
SirLancelotDuLacβ€’7d ago
Oh god, I need to revise conics ig πŸ₯² But isn't there that relation between parameters of ends of focal cords? This one?
flower
flowerOPβ€’7d ago
none that ive been taught this is for any 2 random normals which intersect on the parabola
SirLancelotDuLac
SirLancelotDuLacβ€’7d ago
Is it option c?
SirLancelotDuLac
SirLancelotDuLacβ€’7d ago
No description
SirLancelotDuLac
SirLancelotDuLacβ€’7d ago
Mathematics Stack Exchange
Relation between end point of focal chord of parabola
Consider a parabola $y^2 = 4ax$ , parameterize it as $x=at^2$ and $y=2at$, then it is found that if we have a line segment passing through focus, with each points having value of $t$ as $t_1$ and $...
SirLancelotDuLac
SirLancelotDuLacβ€’7d ago
(t1.t2=-1 point)
flower
flowerOPβ€’7d ago
yea its 3
SirLancelotDuLac
SirLancelotDuLacβ€’7d ago
Ye then basically using this.
flower
flowerOPβ€’7d ago
i got skemmed sprry ji hume iske baare me padhaya nahi tha maafi for confusion πŸ™
SirLancelotDuLac
SirLancelotDuLacβ€’7d ago
Np man, I still need to revise coordinate tho 😭
flower
flowerOPβ€’7d ago
ye to bina revision ke itna aata hai aapko aur phir mai hu jisne abhi abhi padha hai phir bhi nahi aata me fr 🀑
SirLancelotDuLac
SirLancelotDuLacβ€’7d ago
Nah dude. I only know t1t2=-1 and at^2,2at in parabola. πŸ₯Ά Baaki can't remember stuff lol
_zbro
_zbroβ€’7d ago
Write normal equations for (atΒ²,2at), (a/tΒ², -2a/t) Satisfy (h,k), I.e. intersection point Eliminate parameter, I.e. t
flower
flowerOPβ€’7d ago
pov: every Locus Q lmao andyways thanks +solved @SirLancelotDuLac
iTeachChem Helper
iTeachChem Helperβ€’7d ago
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