Question

Find the coordinates of the point that divides AB into a ratio of a.

a) (a, 0)
b) (0, a)
c) (ad, d)
d) (d, ad)

Answer 1

The coordinates of the point that divides AB into a ratio of a can be found using the formula: x = (a*x1 + x2)/(a + 1) and y = (a*y1 + y2)/(a + 1).

Step-by-step explanation:

The coordinates of the point that divides AB into the given ratio can be found using the formula:

x = (a*x1 + x2)/(a + 1)

y = (a*y1 + y2)/(a + 1)

Where (x1, y1) and (x2, y2) are the coordinates of points A and B respectively, and 'a' is the given ratio.

For example, if the given ratio is (a, 0), the coordinates of the point would be (a*x1 + x2)/(a + 1), (a*y1 + y2)/(a + 1).

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