given xz with x(1,9) and z(5,-11) if y lies on xz such that the ratio of xy to xz 1:4, find the coordinates of y

If a segment XZ joining two endpoints X and Z is divided by a point Y(x, y) externally in the ratio of m : n,

Coordinates of the point will be,

x - coordinates →

y - coordinates →

If the coordinates of the endpoints X and Z are (1, 9) and (5, -11) respectively and the ratio in which a point Y divides the segment is 1 : 5,

(Since, XY : XZ = 1 : 4 therefore, XY : YZ = 1 : 5)

Therefore, coordinates of Y will be,

x- coordinates →

y-coordinates →

Therefore, coordinates of Y will be .

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