Circle (x-1) ^ 2 + (Y-1) ^ 2 = 9, through a (2,3) as any chord of the circle, find the trajectory equation of the midpoint P of these chords No pictures,

Circle (x-1) ^ 2 + (Y-1) ^ 2 = 9, through a (2,3) as any chord of the circle, find the trajectory equation of the midpoint P of these chords No pictures,

Circle C: (x-1) ^ 2 + (Y-1) ^ 2 = 9, any chord De that passes through a (2,3) to make a circle, a (2,3) in the middle point of C (1,1) de P (x, y) CP ⊥ de K (CP) = (Y-1) / (x-1) K (DE) = (Y-3) / (X-2) K (CP) * k (AB) = - 1 [(Y-1) / (x-1)] * [(Y-3) / (X-2)] = - 1, the trajectory equation of the middle point P of the chord is (x-1.5) ^