SOLUTION: Determine the equation of the circle whose radius is 5, center on the line x=2 and the tangent to the line 3x-4y+11=0.
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-> SOLUTION: Determine the equation of the circle whose radius is 5, center on the line x=2 and the tangent to the line 3x-4y+11=0.
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Question 1016038: Determine the equation of the circle whose radius is 5, center on the line x=2 and the tangent to the line 3x-4y+11=0. Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website! Create two lines that are parallel to the tangent line.
These two lines will be 5 units away from the tangent line, one above, one below.
Once you have those lines, you can find the intersection point of those lines with to find the center of the circles.
The tangent line is
You can calculate the difference in y-intercepts given the distance, d, between parallel lines using the formula,
So the two lines would be,
So when ,
So then the circles are, and
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