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@Apu
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.Take two parametric points and use t1 t2=-1 iirc
ohhhhhhhh right
ok lemme try
but
one problem
iska figure mujhe samajh nahi aa raha kaise banega π
cant visualise
;-;
and its t1 t2 = 2
Ah right π
were much more used to it being 1 or -1 lol
i got it wrong as well in tests

(Focal cord is the dotted line)
ohhh okok
@SirLancelotDuLac t1 t2 = 2 nahi laga sakte idhar cuz we can only apply that when intersection of normal lies on the parabola π¨ π¨
Oh god, I need to revise conics ig π₯²
But isn't there that relation between parameters of ends of focal cords?
This one?
none that ive been taught
this is for any 2 random normals which intersect on the parabola
Is it option c?

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 $...
(t1.t2=-1 point)
yea its 3
Ye then basically using this.
i got skemmed
sprry ji hume iske baare me padhaya nahi tha maafi for confusion π
Np man, I still need to revise coordinate tho π
ye to bina revision ke itna aata hai aapko aur phir mai hu jisne abhi abhi padha hai phir bhi nahi aata
me fr π€‘
Nah dude. I only know t1t2=-1 and at^2,2at in parabola. π₯Ά
Baaki can't remember stuff lol
Write normal equations for (atΒ²,2at), (a/tΒ², -2a/t)
Satisfy (h,k), I.e. intersection point
Eliminate parameter, I.e. t
pov: every Locus Q
lmao
andyways
thanks
+solved @SirLancelotDuLac
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