line tangent to circle: would it be perpendicular to...?

[tsh44]

I would like some help with this problem:

A circle with a radius of r = 5 is centered at the point (0, 0). Find an equation of the line tangent to this circle at the point (3, 4).

Would this tangent line be perpeendicular to the line that runs through the origin and point (3, 4)?

 

[galactus]

Re: line tangent to crcle

Would this line be perpeendicular to the line that runs through the origin and point 3,4 ?

Yes, it would.