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Question 198158: I need to find the intersection points of a circle and an ellipse.
Circle: x^2 + (y-9)^2 = 16
Ellipse: x^2/16 + (y-1)^2/49 = 1
Please help me out. This is for a project, it is not in a book.
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! Circle: x^2 + (y-9)^2 = 16
Ellipse: x^2/16 + (y-1)^2/49 = 1
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Ellipse x 16: x^2 + (16/49)*(y-1)^2 = 16
Set the 2 eqns equal to each other, solve for y.
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y = 67/11 (Ignore y = 59/3)
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Sub into original eqn
x = +- sqrt(912)/11 = ~ 2.74539
(-2.745,6.09),(+2.745,6.09)
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email via the thank you note if you want additional help, or to see the graph.
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