Elip \((E):\frac{{{x^2}}}{9} + \frac{{{y^2}}}{4} = 1\) có tâm sai bằng bao nhiêu?
(A) \({e = \frac{3}{2}}\)
(B) \({e = - \frac{{\sqrt 5 }}{3}}\)
(C) \({e = \frac{2}{3}}\)
(D) \({e = \frac{{\sqrt 5 }}{3}}\)
Ta có
\(\begin{array}{l}
a = 3,b = 2,c = \sqrt {{a^2} - {b^2}} = \sqrt {9 - 4} = \sqrt 5 \\
\Rightarrow e = \frac{c}{a} = \frac{{\sqrt 5 }}{3}
\end{array}\)
Chọn (D).
-- Mod Toán 10
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