Question

A is a point where the circle with equation x^2 + y^2=16 cuts the x-axis. Find the locus of the midpoints of all chords of this circle that contain the point A.

Answer 1

@nincompoop could you please take a look at this question please

Answer 2

@nincompoop

Answer 3

abviously A is either (4,0) or (-4,0)

Answer 4

there are more chords than that aren't there?

Answer 5

Looks to me like it's a circle with center (-4,0) and radius 2

Answer 6

but how do you work it out?

Answer 7

so we define the locus \[y^2+(x+4)^2=4\]

Answer 8

radius 4.

Answer 9

Sorry

Answer 10

but all the lines are not equal

Answer 11

What does that have to do with anything?