A circle C has equation #x^2+y^2-6x+8y-75=0#, and a second circle has a centre at #(15,12)# and radius 10. What are the coordinates of the point where they touch?
I worked out C as being #(x-3)^2+(y+4)^2=100# and the second circle as #(x-15)^2+(y-12)^2=100# . I graphed the answer and got #(9,4)# as the answer but I'm not sure how to get there. Thanks!
I worked out C as being
1 Answer
Nov 30, 2017
Set the equations equal to each other
Explanation:
You did a great job getting to
Both side equal 100 so set
Simplify to 24x = 216, x = 9
32y = 128, y = 4