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Coordinate of foci are F1-ae,0,F2ae,0. x2a2+y2b2=1At Px0,y0 it will be x02a2+y02b2=1…

, P = (xo, ÿo) is an arbitrary point on an ellipse ôf the form y? 1, where a > b. x² a2 62 F1 and F2 are at the focal points. P F. ial vai l 30IL TiaIL SIAI Lwast uas LIIGL vai l sail liai l 3iuai Luast uas liial vaiL With use of the definition of the dot product to show : aj = a2. I) Hints : Think what is c0Yoa² xoYob² equal to? Simplify +

, P = (xo, ÿo) is an arbitrary point on an ellipse ôf the form y? 1, where a > b. x² a2 62 F1 and F2 are at the focal points. P F. ial vai l 30IL TiaIL SIAI Lwast uas LIIGL vai l sail liai l 3iuai Luast uas liial vaiL With use of the definition of the dot product to show : aj = a2. I) Hints : Think what is c0Yoa² xoYob² equal to? Simplify +

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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This Question involves reflective property of ellipses | q3 |
; P = (xo, ÿo} is âñ ârbitrary point on an ellipse of the form
x2
y?
= 1, where a > b.
62
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t sart hart
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a2
Fi and F2 are at the focal points.
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LIial vai L
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With use of the definition of the dot product to show : aj = a2.
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Hints :
I)
Think what is oYa² – xoyob² equal to? Simplify
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