CPM Homework Help : A2C Problem 11-100

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Home > A2C > Chapter Ch11 > Lesson 11.2.5 > Problem 11-100

11-100.

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

$\left(5, 0\right)$
Hint (a):
Find the equation of the line from the center of the circle to this point.
More Help (a):
$y = 0$
Now find the equation of the line that is perpendicular to this line that passes through this point.
Answer (a):
$x=5$

$\left(3, 4\right)$
Hint (b):
See part (a) for the method.
Answer (b):
$y=-\frac{3}{4}x+\frac{25}{4}$

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