Hi everyone. The full question is as follows:
A circle passes through . Find:
(a)The equation of the circle
(b) the length of the minor arc BC
(c) the equation of the circle on AB as diameter.
(d) A Line of variable gradient , cuts the circle ABC in two points and Find in Cartesian form the equation of the locus of the midpoint of LM.
I have answered A through C, but (d) eludes me, and I can't even begin.
The answer for (a) is:
I know that the answer to (d) is . I also know that the line "rotates" around the point
Thanks in advance.