Hello, poorm87!

Let be a circle with center

Let be the line with equation

Find the polar equation of the curve produced in the following manner:

For every angle , consider the ray from the origin

. . that makes the angle with the positive x-axis.

The ray intersects at point , and at point . Let be the origin.

Then the point on the ray is on the curve if: . .

Find the equation for the locus ofCode:| | | o B | / | | / | | A / | | * * o | | * / * | | * o * | |* / P *| | / | * / θ * - - o - - - - * - - - - * - - * *a | | |* *| | * * | | * * | | * * * |L |

We have: .

Then: .

. . . . .

Hence: .

Therefore: .