### Home > A2C > Chapter 11 > Lesson 11.2.5 > Problem11-100

11-100.

Find the equation of the line tangent to the circle $x^{2} + y^{2} = 25$ at each of the following points.

1. $\left(5, 0\right)$

Find the equation of the line from the center of the circle to this point.

$y = 0$

Now find the equation of the line that is perpendicular to this line that passes through this point.

$x=5$

1. $\left(3, 4\right)$

See part (a) for the method.

$y=-\frac{3}{4}x+\frac{25}{4}$