I am having problems solving a simple circle, problem, I would appreciate any help/guidance as I wasn't provided with references, so I'm having trouble solving this problem because I have no knowledge of the concepts! If someone could some me how to solve this problem I'd be grateful!
Find the centre and radius of the circle
X(Squared) + y(Squared) + 2x - 8y + 8 = 0
Find the centre and radius of the another circle which touches the y-axis at the origin and passes through (4, 2)
Compute the distance between the centres of the two circles, and whether they intersect at one point, two points or no points.
Find the parametric equations of the first circle. (what does parametric even mean?)
(x + 1)^2 + (y - 4)^2 = 9^2;
This should be (x + 1)^2 + (y - 4)^2 = 3^2;
For the second problem, the center lies on the x-axis. And its co-ordinates is (h, 0). So its radius is h. Find the distance between (h, 0) and the given point (4, 2) and equate it to h. Then solve for h.
Alright! great! what about finding the "parametric equation" of the first circle, which we already found the center of (1, -4) and r = 3 ?
and with regards to finding the distance between (h,0) and (4,2) how should I approach it? what should I apply? what formula?