\"\"

\

The polar equation is \"\".

\

 

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\"\"

\

The polar equation is \"\".

\

Rewrite the equation as : \"\"

\

\"\"

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Compare the equation with \"\".

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p = distance between the pole and the directix = 4.

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\"\" and pole = (0, 0). \ \

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So, the graph represents an ellipse.

\

So, the graph of the conic is at vertical directix above the pole.

\

\"\"

\

The polar function is \"\".

\

Make the table of values to find ordered pairs that satisfy the function.

\

Choose random values for \"\" and find the corresponding values for r.

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\

\"\"

\ 		\

                              \"\"

\ 		\

\"\"

\
\

\"\"

\ 		\

\"\"

\ 		\

\"\"

\
\

\"\"

\ 		\

\"\"

\ 		\

undefined

\
\

0

\ 		\

\"\"

\ 		\

\"\"

\
\

\"\"

\ 		\

\"\"

\ 		\

\"\"

\
\

\"\"

\ 		\

\"\"

\ 		\

\"\"

\
\

\"\"

\

1.Draw a polar co-ordinate plane.

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2.Plot the points.

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3.Draw a smooth curve through those points. 

\

\"\"

\

Observe the graph the conic represents an ellipse. \"\"

\

The conic is a parabola.

\

Graph of the above equation

\

\"graph

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From the graph the conic is ellipse. \"\"

\

The conic is ellipse.