Conic Sections Question 340

Question: 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

[Pb. CET 2003]

Options:

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 $

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Answer:

Correct Answer: B

Solution:

Here given that $ 2b=10,2a=8 $

therefore $ b=5,a=4 $

Hence the required equation is $ \frac{x^{2}}{16}+\frac{y^{2}}{25}=1 $ .