This Question involves reflective property of ellipses art şart nart nat part şart as chat part (xo, Yo) is an arbitrary point on an ellipse of the form y? 1, where a > b. jartBase das art shartBas art hart shar 62 F and F2 are at the focal points. art şart hart nat part şart as chat part P a2 T jartBase das art shartBas art hart shar art şart hart at part sart as chat part jartBase das art shartBas nai pai l 2aus 1nail auaware uas Lilai pai i zas 1nai i Quaua uas Liiai pai i adrt hart shar das chat part sart hart shartBase das chat part sart hart shart Rase das chat part sart hart 1) Show that n = (yoa², –xob²) is a vector in the direction of the tangent line to the ellipse through P.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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at part sart hart shartBase das chat part şart hart shartBase das chat part şart hart shartBase das chat part şart hart shartE
as chat part şart hart shartBase das chat part sart hart shartBase das chat part sart hart shartBase das chat part şart hart ş
ase das chat part şart hart shartBase das chat part şart hart şhartBase das chat part sart hart shartBase das chat part şart h
axtBase das chat part sart hart shartBase das chat part sart hart shartBase das chat part sart hart shartBase das chat part ş
art şart hart shartBase das chat p
nat part şart hart shartBase das c
as chat part sart hart shartBase o
jartBase das chat part sart hart ş
art shartBase das chat part şart h
art hart shartBase das chat part s
art şart hart shartBase das chat p
nat part şart hart shartBase das c
as chat part sart hart shartBase o
jartBase das chat part sart hart ş
art shartBase das chat part şart F
art hart shartBase das chat part ş
art şart hart shartBase das chat p
1at part sart hart shartBase das o
as chat part şart hart shartBase o
jartBase das chat part sart hart s
art shartBase das chat part şart h
rt shartBas
rt hart şha
This Question involves reflective property of ellipses
', P = (x0, Yo) is an arbitrary point on an ellipse of the form
t sart hart
as chat pa
x2
y?
1, where a > b.
62
Ise das cha
artBase da
rt shartBas
it hart sha
a2
F and F2 are at the focal points.
t sart hart
as chat pai
a2
T
ise das cha
xtBase cla
rt shartBas
rt hart sha
t sart hart
as chat pa
ase das cha
xtBase claɔ LTiai pai i zgu 1iai l aua aRE uaɔ Liiai pai i zal Tiai L Quaa uaɔ Ciiat pait at hart shatBase das chat part ş
rt shartBase das chat part sart hart shartBase das chat part sart hart shartBase das chat part sart hart shartBase das chat p
hart shartBase das o
sart hart shartBase o
; chat part şart hart
e das chat part şart E
tBase das chat part
shartBase das chat
hart shartBaseę das c
sart hart shartBase c
rt hart shart
t sart hart ş
I)
as chat part
Show that nT= (yoa², –xob²) is a vector in the direction of the tangent line to the
ellipse through P.
Ise das chat
artBase das
rt shartBase
t hart shart
t sart hart ş
as chat part
Hints :
Illustrate that nī is a vector that is in the same direction to the
tangent line (i.e. the vector and the line are parallel), you may want to
think how you could represent a vector along the line.
need to find the slope of a tangent line.
i chat part sart hart s
Ise das chat pui uwt 1luiL wusesezse uus LiTut puI L t IUI L RUSUes uus Tat puii us TIuii R R das chat part şart r
axtBase das chat part sart hart shartBase das chat part şart hart shartBase das chat part şart hart shartBase das chat part ş
rt shartBase das chat part sart hart shartBase das chat part şart hart shartBase das chat part şart hart shartBase das chat p
rt hart shartBase das chat part şart hart şhartBase das chat part şart hart shartBase das chat part sart hart şhartBase das o
Transcribed Image Text:at part sart hart shartBase das chat part şart hart shartBase das chat part şart hart shartBase das chat part şart hart shartE as chat part şart hart shartBase das chat part sart hart shartBase das chat part sart hart shartBase das chat part şart hart ş ase das chat part şart hart shartBase das chat part şart hart şhartBase das chat part sart hart shartBase das chat part şart h axtBase das chat part sart hart shartBase das chat part sart hart shartBase das chat part sart hart shartBase das chat part ş art şart hart shartBase das chat p nat part şart hart shartBase das c as chat part sart hart shartBase o jartBase das chat part sart hart ş art shartBase das chat part şart h art hart shartBase das chat part s art şart hart shartBase das chat p nat part şart hart shartBase das c as chat part sart hart shartBase o jartBase das chat part sart hart ş art shartBase das chat part şart F art hart shartBase das chat part ş art şart hart shartBase das chat p 1at part sart hart shartBase das o as chat part şart hart shartBase o jartBase das chat part sart hart s art shartBase das chat part şart h rt shartBas rt hart şha This Question involves reflective property of ellipses ', P = (x0, Yo) is an arbitrary point on an ellipse of the form t sart hart as chat pa x2 y? 1, where a > b. 62 Ise das cha artBase da rt shartBas it hart sha a2 F and F2 are at the focal points. t sart hart as chat pai a2 T ise das cha xtBase cla rt shartBas rt hart sha t sart hart as chat pa ase das cha xtBase claɔ LTiai pai i zgu 1iai l aua aRE uaɔ Liiai pai i zal Tiai L Quaa uaɔ Ciiat pait at hart shatBase das chat part ş rt shartBase das chat part sart hart shartBase das chat part sart hart shartBase das chat part sart hart shartBase das chat p hart shartBase das o sart hart shartBase o ; chat part şart hart e das chat part şart E tBase das chat part shartBase das chat hart shartBaseę das c sart hart shartBase c rt hart shart t sart hart ş I) as chat part Show that nT= (yoa², –xob²) is a vector in the direction of the tangent line to the ellipse through P. Ise das chat artBase das rt shartBase t hart shart t sart hart ş as chat part Hints : Illustrate that nī is a vector that is in the same direction to the tangent line (i.e. the vector and the line are parallel), you may want to think how you could represent a vector along the line. need to find the slope of a tangent line. i chat part sart hart s Ise das chat pui uwt 1luiL wusesezse uus LiTut puI L t IUI L RUSUes uus Tat puii us TIuii R R das chat part şart r axtBase das chat part sart hart shartBase das chat part şart hart shartBase das chat part şart hart shartBase das chat part ş rt shartBase das chat part sart hart shartBase das chat part şart hart shartBase das chat part şart hart shartBase das chat p rt hart shartBase das chat part şart hart şhartBase das chat part şart hart shartBase das chat part sart hart şhartBase das o
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