How can I solve this problem?

A circle has diameter [AB]. The centre of the circle is (1,3), and B has coordinates (4,-1).

# Find the coordinates of A.
# Find the length of the diameter.

HELP ME PLEASE

4 answers

diameter= 2*(sqrt((4+1)^2 + (-1+3)^2)
diameter=2 sqrt(25+4)=2sqrt29

Now, A must be on the other side of B, or A is (-2,7)
Whyγ€€βˆš29 to (-2,7)?
How can I know?
A is the same distance from (1,3) as B is.

You don't need to know that the distance is √29. You just need to subtract the same values from (1,3) as were added to get to (4,-1)

(1,3)+(3,-4) = (4,-1)
So, you need
(1,3)-(3,-4) = (-2,7)
OK, I understand.
Thank you very much!!
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