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Question
Find the equation of the ellipse in the cases given below:
Foci `(+- 3, 0), "e"+ 1/2`
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Solution
Foci (± c, 0) = (± 3, 0)
e = `1/2`
c = ae = 3
`"a"(1/2)` = 3
a = 6 ⇒ a² = 36
b2 = a2 – c2
b2 = 36 – 9 = 27
b2 = 27
Equation of the ellipse be `x^2/"a"^2 + y^2/"b"^2` = 1
`x^2/36 + y^2/27` = 1
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