Question

The coordinates of a point which divides the join of A(2,4),B(3,7) in the ratio 1:2 are

Answer 1

Answer:

THIS IS THE RIGHT ANSWER

Answer 2

Concept:

In coordinate geometry, the section formula is used to find the ratio in which a line segment is split by an internal or external point. It is used to find out the centroid, incenter and excenters of a triangle. In physics, it is used to locate the mass center of systems, balance points, etc.

Let the point dividing be(x,y)

x=(m₁x₂+m₂x₁)/(m₁+m₂)

y=(m₁y₂+m₂y₁)/(m₁+m₂)

Given:

x₁=2,y₁=4

x₂=3,y₂=7

m₁=1 , m₂=2

Find:

x=?

y=?

Solution:

x=(1x3+2x3)/3

 =3

y=(1x7+2x4)/3

 = 5

Therefore, the point dividing the two coordinates A(2,4),B(3,7) in the ratio 1:2  is(3,5)

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