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HELP QUICK!!! An ellipse has foci F1(9, 0) and F2(11, 6), and the point (1, 6) is on the ellipse. Identify the constant sum for the ellipse. a 20 b 10 c 0 d 100
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Mar 21, 2018
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HELP QUICK!!!
An ellipse has foci F1(9, 0) and F2(11, 6), and the point (1, 6) is on the ellipse. Identify the constant sum for the ellipse.
a 20
b 10
c 0
d 100
Mathematics
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Huisinro
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Answer: 20
Explanation:
Pavel Antspovich
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Mar 23, 2018
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Pavel Antspovich
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The first step is to find the distance from the given point to each of the two foci as follows:
Distance D1:
(D1)^2 = (9-1)^2 + (0-6)^2 = 100
D1 = 10
Distance D2:
(D2)^2 = (11-1)^2 + (6-6)^2 = 100
D2 = 10
The constant sum is the summation of the two distances as follows:
constant sum = D1 + D2 = 10 + 10 = 20
The correct choice is:
a) 20
Levzettelin
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Mar 27, 2018
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Levzettelin
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