Question 175427: a tangent to a circle is a line that touches the circle at one point and is perpendicular to a radius of the circle. a circle has center (3,1) and has point (4,5) on the circle. find the equation of the line tangent to circle at (4,5).
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! a tangent to a circle is a line that touches the circle at one point and is perpendicular to a radius of the circle. a circle has center (3,1) and has point (4,5) on the circle. find the equation of the line tangent to circle at (4,5).
------------
The slope of the radius is (5-1)/(4-3) = 4
So the slope of the tangent is -1/4
---------------
The intercept of the tangent: 5 = (-1/4)4 + b
b = 6
------------
Equation of the tangent line: y = (-1/4)x + 6
=================
Cheers,
Stan H.
|
|
|
