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An ellipse in the first quadrant is tangent to both the x-axis and y-axis. One focus is at  (3, 7) and the other focus is at (d, 7). Compute d.

 Mar 20, 2019
 #1
avatar+1008 
-6

By Ellipse do you mean a Circle 

 Mar 20, 2019
 #2
avatar+38 
+3

No, like the oval shape

Dahdahda  Mar 20, 2019
edited by Dahdahda  Mar 20, 2019
edited by Dahdahda  Mar 20, 2019
 #3
avatar+1008 
-6

Okay Well it look like you are asking for the botom of the Oval right

 

If not please tell me all you know about this..

I sincerly would love to help you.

Nickolas  Mar 20, 2019
 #4
avatar+38 
+1

I need d in the second focus of the ellipse

Dahdahda  Mar 20, 2019
 #5
avatar+118703 
+2

Nickolas, this is way over your head :)

 

Dah, a circle is actually a special case of an ellipse.

 

A circle is an ellipse where for foci are the same point.

 Mar 20, 2019
edited by Melody  Mar 20, 2019
 #6
avatar+118703 
+2

This shoud be helpful I think

 

https://www.youtube.com/watch?v=llJuk41PNIg

 Mar 20, 2019
 #7
avatar+38 
0

Cool. I watched it, but I still don’t even know how to do this.

Dahdahda  Mar 20, 2019
 #8
avatar+399 
+1

If the first foci is (3,7) and the second is (d,7), then C= (d+32,7). C is the center of the ellipse. The point where the ellipse touches the x-axis is (d+32,0).

 

We know that P(any points on the ellipse) = T, so

2(d32)2+72=d+3  

(d32)2(4)+72(4)=d+3

(d3)2+196=d+3

 

Then, by squaring both sides, we get 

(d3)2+196=d2+6d+9

d26d+9+196=d2+6d+9

12d=196

d=493

 

- Daisy

 Mar 20, 2019

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