Question: $$ 7. Prove that inversion in the unit circle maps the circle $(x-a)^{2}+(y- b)^{2}=r^{2}$ to the circle left(x-frac{a}{d} ight)^{2}+left(y-frac{b}{d} ight)^{2}=left(frac{r} {d} ight)^{2} $$ where $d=a^{2}+b^{2}-r^{2}$,
$$ 7. Prove that inversion in the unit circle maps the circle $(x-a)^{2}+(y- b)^{2}=r^{2}$ to the circle \left(x-\frac{a}{d} ight)^{2}+\left(y-\frac{b}{d} ight)^{2}=\left(\frac{r} {d} ight)^{2} $$ where $d=a^{2}+b^{2}-r^{2}$, provided that $d eq 0$ CS.JG.058
Step by Step Solution
There are 3 Steps involved in it
1 Expert Approved Answer
Step: 1 Unlock
Question Has Been Solved by an Expert!
Get step-by-step solutions from verified subject matter experts
Step: 2 Unlock
Step: 3 Unlock
Study Help