Conic Sections Question 355
Question: The equation $ \frac{x^{2}}{2-r}+\frac{y^{2}}{r-5}+1=0 $ represents an ellipse, if
[MP PET 1995]
Options:
A) $ r>2 $
B) $ 2<r<5 $
C) $ r>5 $
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
$ \frac{x^{2}}{2-r}+\frac{y^{2}}{r-5}+1=0 $
therefore $ \frac{x^{2}}{r-2}+\frac{y^{2}}{5-r}=1 $
Hence $ r>2 $ and $ r<5 $
therefore $ 2<r<5. $
BETA
