Problem IV Consider the Ellipsoïd E:= = {(x, y, z) € R³ | ²+¹ +2²=1}. = Question 1 Let M (ro, yo, 0) be a point in the xy-plane. And let P pole of the Ellipsoid. The equation of the segment [PM] is given by a) d) x = xot y = yot 2 = -t+1 0 < t < 1. x=t+xo y=t+yo 0 < t < 1. 2=t x=x0 y=yo 0≤t≤ 1. 2=t x= xotxo y=yot-yo 0

Algebra and Trigonometry (MindTap Course List)
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Chapter12: Conic Sections
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Problem IV
Consider the Ellipsoid E := {(r, y, z) E R° | +5 + 2? = 1}.
Question 1 Let M(ro, y0, 0) be a point in the ry-plane. And let P = (0,0, 1) be the north
pole of the Ellipsoid. The equation of the segment [PM] is given by
x = xot
a)
y = yot
0 <t<1.
2 = -t +1
x =t+ x0
b)
y =t+ yo 0<t<1.
z = t
x = x0
y = yo 0< t<1
z = t
c)
T = xot – ro
d)
y = yot
z = t
Yo 0<t<1.
Transcribed Image Text:Problem IV Consider the Ellipsoid E := {(r, y, z) E R° | +5 + 2? = 1}. Question 1 Let M(ro, y0, 0) be a point in the ry-plane. And let P = (0,0, 1) be the north pole of the Ellipsoid. The equation of the segment [PM] is given by x = xot a) y = yot 0 <t<1. 2 = -t +1 x =t+ x0 b) y =t+ yo 0<t<1. z = t x = x0 y = yo 0< t<1 z = t c) T = xot – ro d) y = yot z = t Yo 0<t<1.
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