Question

Equation $\frac{1}{r}=\frac{1}{8}+\frac{3}{8} cos\, \theta represents$

• A. A rectangular hyperbola
• B. A hyperbola
• C. An ellipse
• D. A parabola

Answer 1

Answer: (B)

A hyperbola

Answer 2

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 $\frac{l}{r}=1+ e \, cos\, \theta$ $\because\quad e=3 >\, 0,$ $\therefore\quad Given \, equation \,is \,a \,hyperbola.$