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Exercicios resolvidos James Stewart vol. 2 7ª ed - ingles

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44 D CHAPTER 10 PROBLEMS PLUS<br />

a 2 d 2 -b 2 c 2 ad+ bc d h . bad+be ad'-t-be<br />

=> X = b(ad _be) = - -b- an t e y-va 1 Ue IS a --b- = --a- ·<br />

S 1m1 . . 1 ar 1 y, t<br />

h<br />

e tangent 1 .<br />

me mtersects<br />

. y = -ax b<br />

at<br />

(be<br />

--b-,<br />

- ad<br />

--aad<br />

- be )<br />

.<br />

Th<br />

e m1<br />

.d<br />

pomt<br />

.<br />

o<br />

ftl<br />

1ese mtersect1on<br />

. .<br />

pomts<br />

.<br />

1s<br />

.<br />

(<br />

1 (ad+bc be- ad) 1 (ad+ be ad-be)) (12bc 12ad) .<br />

2 --b- + --b- • 2 --a- + --a- = 2 b , 2--;;:- = ( c, d), the pomt of tangency.<br />

Note: Jf y = ·o, then at (±a, 0), the tangent line is x = ± a, and the points of intetsection are clearly equidistant from the point<br />

of tangency.<br />

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