(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The line x+y=2a-1 intersects the circle x^{2}+y^{2}=a^{2}+3a-3 at point (m,n). When m*n reaches its minimum value, what is the value of a?

2. Relevant equations

Equation One

x + y = 2a - 1

Equation Two

x^{2}+ y^{2}= a^{2}+ 3a - 3

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Intersection of a line and circle

**Physics Forums | Science Articles, Homework Help, Discussion**