Q: Sketch the curve with equation for where . Sketch also the line with equation for on the same diagram.
The half-line with equation , , meets the curve at and the line with equation at . If is the pole, find the value of for which .
I drew the sketch but can't do second part. Could someone help? Thanks in advance.
So the point A where both the curves meet must satisfy both , and for where .
So substitute in , to get . We already know that . Thus we can get .
Do a similar thing for B by finding intersection with .
Now OA is the distance from the pole to the point A. That is nothing but the radial distance...