parabola
The co-ordinates of focus of a parabola which touches x = 0, y = 0, x + y = 1 and y = x - 2 are
a)3/5,9/5 b)6/5,2/5 c) 1/3,1 d)2/5,1
19 Replies
@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.hint: the foot of the perpendicular from the focus to a tangent of the parabola lies on the tangent at the vertex
i got a soln from someone saying a property that circumcenter of triangle formed by tangents to a parabola passes through focus
seems lengthy tho
is this related to what i sent?
huh
do you mean circumcircle
and yes
this is how its derived
theres also another property iirc
ki uska orthocentre lies on the directrix
yeah i mean circumcenter is the center of circumcircle lol
ohh accha
no but it doesn't lie on the circumcenter
👿
really?
ek sec
do you want me to doxx you
lol
would be funny
kya hi karlenge waise toh log
but still dont
mb
so uske baad har option dalke check karna padega?
right?
ig so yeah exact parabola toh nahi aa paega
arre
no
yahan pe toh 4 tangents hai na
yes
ohh
right
so you can take 2 triangles
and so two circumcircles
yeah right
unka intersection hoga ig focus
haan
got it thanks
+solved @professional_procrastinator
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