Conic Sections Question 12
Question: Equation $ \frac{1}{r}=\frac{1}{8}+\frac{3}{8}\cos \theta $ represents
[EAMCET 2002]
Options:
A) A rectangular hyperbola
B) A hyperbola
C) An ellipse
D) A parabola
Show Answer
Answer:
Correct Answer: B
Solution:
Given, equation is $ \frac{1}{r}=\frac{1}{8}+\frac{3}{8}\cos \theta $ or $ \frac{8}{r}=1+3\cos \theta $ which is the form of $ \frac{l}{r}=1+e\cos \theta $
$ \because e=3>0 $ ,
$ \therefore $ Given equation is a hyperbola.
BETA
