Line segment AB is divided by point P in the ratio of 1:4. Point A is (7,5) and point P is (10,14). What are the coordinates of point B?

Given:

The line segment AB is divided by point P in the ratio of 1:4.

Point A is (7,5) and point P is (10,14).

To find:

The coordinates of point B.

Solution:

Let the coordinates of point B are (a,b).

Section formula: If a point divide a line segment in m:n, then the coordinates of that point are

The line segment AB is divided by point P in the ratio of 1:4.

Using section formula, we get

Comparing the coordinates on both sides, we get

And,

Therefore, the coordinates of point B are (22,50).

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