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Question 32140: Could you please help me with this problem.
Write the equation of an elipse given vertex (15,0) and focus(12,0)
Answer by mukhopadhyay(490)   (Show Source):
You can put this solution on YOUR website! There are two vertices of an ellipse, and they are equidistant from the center.
The center of the ellipse having vertices at (-15,0) and (15,0) is (0,0). The major axis is x-axis.
Standard equation is:
x^2/a^2 + y^2/b^2 = 1
a=15 (distance between center and vertex)
c=12 (distance between center and focus)
c^2=a^2-b^2
=>b^2=15^2-12^2=27*3=81
=>b=9
So, the equation of the ellipse is:
x^2/225+y^2/81=1
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