SOLUTION: What would be the eqaution of a circle containging the points (0,-2) and (6,6) and whose center is on the line x

SOLUTION: What would be the eqaution of a circle containging the points (0,-2) and (6,6) and whose center is on the line x - y = 1?

Question 456905: What would be the eqaution of a circle containging the points (0,-2) and (6,6) and whose center is on the line x - y = 1?
Answer by spacesurfer(12) (Show Source): You can put this solution on YOUR website!
The equation of the line is rewritten. Hence a point on the line is (x, x-1). Let's say the center is at (x, x-1). Then the distance between (6,6) and the center = radius = distance between center and (0,-2). Using the point to point distance formula, we have

This is the same as
The solution is x = 3. Hence, the center is at (3,2).
The radius = 5 since .
So, the equation of the circle is
RELATED QUESTIONS
Find the equation of the circle whose center is on the line 2x - y + 4 = 0 and which... (answered by math_tutor2020,Alan3354,ikleyn)

(X-1)^2+y^2=6 What is the center and the radius of the... (answered by Fombitz)

The center of a circle is on the line x + 2y = 4 The circle passes through points A... (answered by solver91311)

find the equation of the circle containing the points P(0,-3) and Q(4,0) and whose center (answered by ikleyn)

What is the center of the circle that has a diameter whose endpoints are (2, 7) and (-6,... (answered by josgarithmetic)

i am supposed to write an equation of a circle with the center at the origin and radius... (answered by Alan3354)

find the equation of the circle passing through the points (2,3) and (-1,1) and whose... (answered by Alan3354)

Find the equation of the circle passing through the points (4, 1) and (6, 5) and whose... (answered by fcabanski)

Find the equation of a circle passing through the points (4,1) and 6,5) and whose center... (answered by Alan3354)