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 $
Show Answer
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 $ .