Find the standard equation of an ellipse if the foci are (-7, 6) and (-1, 6), the sum of the distances of any point from the foci is 14. (x-6)² , (y-6)² а. = 1 49 (x+4)² . &-6)² c. = 1 40 40 49 h (x+3)?, (y-3)² (x+7)² , (v+1)?

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.3: Ellipses
Problem 1ECP
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Question
Find the standard equation of an ellipse if the foci are (-7, 6) and (-1,
6), the sum of the distances of any point from the foci is 14.
(x-6)2, (y-6)2
a.
= 1
49
(x+4)2, (y-6)²
c.
= 1
40
40
49
b. (*+3)2
49
(y-3)²
= 1
40
(x+7)* (y+1)?
d.
= 1
49
40
Transcribed Image Text:Find the standard equation of an ellipse if the foci are (-7, 6) and (-1, 6), the sum of the distances of any point from the foci is 14. (x-6)2, (y-6)2 a. = 1 49 (x+4)2, (y-6)² c. = 1 40 40 49 b. (*+3)2 49 (y-3)² = 1 40 (x+7)* (y+1)? d. = 1 49 40
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