Asked by Mark
I need help solving this problem.
Question: At what points will the line y=-x intersect the unit circle x2+y2=1?
Question: At what points will the line y=-x intersect the unit circle x2+y2=1?
Answers
Answered by
Reiny
That circle equation would be x^2 + y^2 = 1
sub the y = -x into the circle
x^2 + x^2 = 1
2x^2 = 1
x^2 = 1/2
x = ±1/√2
if x = +1/√2, y = -1/√2
finish it up
sub the y = -x into the circle
x^2 + x^2 = 1
2x^2 = 1
x^2 = 1/2
x = ±1/√2
if x = +1/√2, y = -1/√2
finish it up