\"\"

\

The curve equation is \"\".

\

Construct a table for different values of \"\".

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\"\"\"\"\"\"
\"\"\"\"\"\"
\"\"\"\"\"\"
\"\"\"\"\"\"
\"\"\"\"\"\"
\"\"\"\"\"\"
\"\"\"\"\"\"
\"\"\"\"\"\"
\"\"\"\"\"\"
\"\"\"\"\"\"
\

\"\"

\

 

\

\

Graph:

\

\

(1) Graph the polar co-ordinates.

\

(2) Plot the points.

\

(3) Connect the points with a smooth curve.

\

Graph of the curve is \"\" is :

\

\"\"

\

Observe the graph: \ \

\

The boundaries of the curve are \"\".

\

\"\"

\

Area of the region enclosed by the curve is \"\".

\

The boundaries of the curve are \"\".

\

Area of the region enclosed by the curve \"\" :

\

\"\"

\

\"\"

\

\"\"

\

\"\". \ \

\

Area of the region enclosed by the curve \"\" is \"\". \ \

\

\"\"

\

Graph of the curve is \"\" is 

\

\"\"

\

Area of the region enclosed by the curve \"\" is \"\".