Complex plane

[lisafaustina]

you know when you have to draw like a circle and a ray on an argand diagram ? well how do you find the point where the line and the circle meet and the area and such, cos those type of questions come up on the exams pretty frequently but theyre not in the book so i have no idea what to do.

[98.40_for_sure]

What do you mean a circle and a ray? i'm not exactly sure what you're asking, however im guessing you're referring to those ones where you have to divide the area up and calculate separate bits

[jasoN-]

I think she means a circle and a line intersecting it
eg. |z|<2 (intersect sign) |z|=|z-3+i|
find the equation of the line and the circle, then rearrange to get the intersect
if it's tech free i don't think they would ask for the intersection between the line and the circle
for tech active, simply use solve function in calc

[fady_22]

To find the area, don't start thinking "I have to integrate this somehow!". Most of the time, you can find the area using the formula for a sector of a circle.

[lisafaustina]

Ooh how ?

[Chavi]

sector: 1/2 theta r^2 where theta is in radians
segment: 1/2 r^2 (sin(theta) - theta)