11th Class Mathematics Conic Sections Question Bank Critical Thinking

  • question_answer Equation \[\frac{1}{r}=\frac{1}{8}+\frac{3}{8}\cos \theta \] represents              [EAMCET 2002]

    A)            A rectangular hyperbola           

    B)            A hyperbola

    C)            An ellipse                                  

    D)            A parabola

    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.

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