TMUA Practice Question — Worked Solution

P1·Coordinate Geometry·5.5Mock 0 · P1 · Q4

circlechordperpendicular from the centre bisects a chordshortest chordPythagoras

The point

M

has coordinates

(5, 2)

and lies inside the circle

x^{2} + y^{2} - 6 x - 2 y - 15 = 0

Of all the chords of this circle that pass through

M

, what is the length of the shortest one?

Discussion

No discussions yet. Stuck, or want to share an approach? Start the first one.