Hi there! I'm back with another problem. I apologize-- my class is getting more difficult and my homework is piling up. It would be a huge favor if someone could help me with this problem:
Let k be a positive real number. The line x+y=k and the circle x2+y2=k are drawn. Find k so that the line is tangent to the circle.
I think I'm supposed to use desmos? (that is allowed in my course as long as it's helpful to the student).
So, before I submit my answer can someone tell me if the answer: 2 is right? Thanks so much! I really appreciate it :)
+373 Hey there, Guest!
Yes, you're right, let me show you how:
The distance of the line x+y = k from the centre of the given circle is k/√2And the circle's radius is √k. Therefore the tangency is (k/√2) of which equals √k, which is equal to 2.
Hope this helped! :)
( ﾟдﾟ)つ Bye
+373 Hey there, Guest!
Yes, you're right, let me show you how:
The distance of the line x+y = k from the centre of the given circle is k/√2And the circle's radius is √k. Therefore the tangency is (k/√2) of which equals √k, which is equal to 2.
Hope this helped! :)
( ﾟдﾟ)つ Bye
