SOLUTION: a circle of radius 5 units has its center in the first quadrant, touches the x-axis and the intercepts a chord of length 6 units on the y-axis. find the equation of this circle
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Question 1042865: a circle of radius 5 units has its center in the first quadrant, touches the x-axis and the intercepts a chord of length 6 units on the y-axis. find the equation of this circle
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
If the center is at (h,k) and radius = then
the equation is
Since it touches the x-axis,
and it's given , so
------------------------------
If the radius bisects the chord on the y-axis, that
radius is parallel to the x-axis. 1/2 of the chord = .
. This forms a 3-4-5 right triangle, so the center
of the circle is units from the y-axis, so
Now I have:
Here it is plotted:
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