For ellipse frac{{{x^2}}}{{64}} + frac{{{y^2}}}{{28}} = 1 , eccentricity is

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10-2. Parabola, Ellipse, Hyperbola

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For the ellipse $\frac{{{x^2}}}{{64}} + \frac{{{y^2}}}{{28}} = 1$, the eccentricity is

A

$\frac{3}{4}$

B

$\frac{4}{3}$

C

$\frac{2}{{\sqrt 7 }}$

D

$1\over3$

Solution

(a) ${e^2} = 1 – \frac{{{b^2}}}{{{a^2}}}$

${e^2} = \frac{{36}}{{64}}$

==> $e = \frac{3}{4}$.

Standard 11

Mathematics

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