- #1

ChiralSuperfields

- 1,284

- 136

- Homework Statement
- Please see below

- Relevant Equations
- Please see below

For this problem,

The limiting position of R is (4,0). However, I am trying to solve this problem using a method that is different to the solutions. So far I have got,

##C_1: (x - 1)^2 + y^2 = 1##

##C_2: x^2 + y^2 = r^2##

To find the equation of PQ,

## P(0,r) ## and ##R(R,0) ##

## y = \frac{r(x - R)}{-R} ##

Then solve for ## R ## to get,

##R = \frac{rx}{r - y}##

##R = \frac{rx}{r - \sqrt{r^2 + x^2}} ##

##R = \lim_{r \rightarrow 0^+} \frac{rx}{r - \sqrt{r^2 + x^2}} = 0 ##

Can someone please give guidance to what I have done wrong?

Many thanks!

The limiting position of R is (4,0). However, I am trying to solve this problem using a method that is different to the solutions. So far I have got,

##C_1: (x - 1)^2 + y^2 = 1##

##C_2: x^2 + y^2 = r^2##

To find the equation of PQ,

## P(0,r) ## and ##R(R,0) ##

## y = \frac{r(x - R)}{-R} ##

Then solve for ## R ## to get,

##R = \frac{rx}{r - y}##

##R = \frac{rx}{r - \sqrt{r^2 + x^2}} ##

##R = \lim_{r \rightarrow 0^+} \frac{rx}{r - \sqrt{r^2 + x^2}} = 0 ##

Can someone please give guidance to what I have done wrong?

Many thanks!