x^2+y^2=r; x+y=r, such that the line crosses the circle at exactly two places.

Obviously with two equations and three variables, we have a solution set of answers that can satisfy the given conditions. What I want to know is of the given solutions that satisfies this problem, what is the smallest and largest values x can possibly be?

## Question

## BMAD 65

Suppose we have the following system

x^2+y^2=r; x+y=r, such that the line crosses the circle at exactly two places.

Obviously with two equations and three variables, we have a solution set of answers that can satisfy the given conditions. What I want to know is of the given solutions that satisfies this problem, what is the smallest and largest values x can possibly be?

## Link to post

## Share on other sites

## 5 answers to this question

## Recommended Posts

## Join the conversation

You can post now and register later. If you have an account, sign in now to post with your account.