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10-2. Parabola, Ellipse, Hyperbola
easy
The lengths of major and minor axis of an ellipse are $10$ and $8$ respectively and its major axis along the $y$ - axis. The equation of the ellipse referred to its centre as origin is
A
$\frac{{{x^2}}}{{25}} + \frac{{{y^2}}}{{16}} = 1$
B
$\frac{{{x^2}}}{{16}} + \frac{{{y^2}}}{{25}} = 1$
C
$\frac{{{x^2}}}{{100}} + \frac{{{y^2}}}{{64}} = 1$
D
$\frac{{{x^2}}}{{64}} + \frac{{{y^2}}}{{100}} = 1$
Solution
(b) Here given that $2b = 10,\,2a = 8$
$b = 5,\,\,a = 4$
Hence the required equation is $\frac{{{x^2}}}{{16}} + \frac{{{y^2}}}{{25}} = 1$.
Standard 11
Mathematics
