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Which of the following equations could be that of the ellipse graphed below?

Which of the following equations could be that of the ellipse graphed below?-example-1

2 Answers

4 votes
The best option is C

((x - 6^2))/(8^2) + ((y - 5^2))/(5^2) = 1.
User Yadhukrishna
by
7.6k points
3 votes

Answer:

Option C

Explanation:

Given is a graph of the ellipse.

Centre is at (6,5)

Vertices are found to be (14,5) (-2,5)

Hence
Major axis = 2a = 16a-8

Other vertices are (6,0) and (6,10)


2b=10\\b=5

The ellipse is horizontal with major axis horizontal

Hence equaiton of the ellipse is


((x-6)^2)/(8^2) +((y-5)^2)/(5^2) =1

Option C is right answer

User Gadlol
by
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