MCQ
Equation $\frac{1}{r} = \frac{1}{8} + \frac{3}{8}\cos \theta $ represents
- AA rectangular hyperbola
- ✓A hyperbola
- CAn ellipse
- DA parabola
✓
Answer
Correct option: B.
A hyperbola
b
(b) Given, equation is $\frac{1}{r} = \frac{1}{8} + \frac{3}{8}\,\cos \theta $
(b) 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.
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