SOLUTION: Help me find the equation of a circle passing through points (6,0) and (24,0) and is a tangent to the y-axis
Algebra.Com
Question 995162: Help me find the equation of a circle passing through points (6,0) and (24,0) and is a tangent to the y-axis
Found 2 solutions by stanbon, Alan3354:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Help me find the equation of a circle passing through points (6,0) and (24,0) and is a tangent to the y-axis
------------
Sketch the figure.
The perpendicular bisector of the segment joining (6,0) and (24,0)
is the line x = 6+(24-6)/2 = 15
So the center is at (15,k).
Therefore the radius = 15, since the circle is tangent to the y-axis.
Then:
(x-15)^2 + (y-k)^2 = 15^2
Using (6,0) you get:
(81)+(0-k)^2 = 225
k^2 = 144
k = +12 or -12
-----
Ans: (x-15)^2 + (y-12)^2 = 15^2
-------------
Cheers,
Stan H.
-------------
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Help me find the equation of a circle passing through points (6,0) and (24,0) and is a tangent to the y-axis
-------------
Label the points A(6,0) and B(24,0)
The center of the circle, point C, is on the perpendicular bisector of AB, which is x = 15
---
Tangent to the y-axis makes the radius 15.
The distance from A and B to the center is also 15.
y = 12
================
Center at (15,12) and (15,-12) (there are 2 circles)
(15,12) -->
(15,-12) -->
RELATED QUESTIONS
PLEASE HELP ME. FIND THE EQUATION OF A CIRCLE PASSING THROUGH (3,7) AND TANGENT TO THE... (answered by Edwin McCravy)
Find the equation of a circle passing through (-1,6) and tangent to the lines x-2y+8=0... (answered by FrankM,Alan3354)
find equation of the circle passing through A(1,4) , B(-1,8) and tangent to the line x +... (answered by Edwin McCravy,ikleyn)
Find the equation of a circle passing through the point (1,2) and tangent to both... (answered by math_helper)
equation of the circle that passes through (9,7) and is tangent to both y-axis and the... (answered by lwsshak3)
find an equation of the circle passing through A(5,1) and tangent to the line
2x-y-10=0... (answered by Alan3354)
Write the general and standard form of the equation of the circle satisfying the given... (answered by Alan3354)
write the equation of the circle if it is : tangent to x-axis and passing through (-1,3)... (answered by quentin252)
Equation of a circle Passing through (6,-1) and tangent 4y-3x-2=0 at... (answered by Alan3354,ikleyn)