Question

given AC with A(3,4) and C(-9,-2) if B partitions AC such that the ratio of AB to BC is 1:5 find the coordinates of B. ​

Answer 1

The co-ordinates of B (1,3 )

Explanation:

Step(i):-

Given A( 3,4) and C( -9, -2)

Given 'B' partition AC such that

B divides AC in the ratio is 1:5 internally

Section formula

`((mx_(2)+nx_(1) )/(m+n) ,(my_(2)_+ny_(1) )/(m+n) )`

Step(ii):-

Given points are

A( 3,4) and C( -9, -2) and ratio 1 : 5

(x₁ , y₁) = ( 3,4) and (x₂, y₂) = (-9,-2)

m:n = 1 : 5

The co-ordinates of B

=
`((1(-9)+5(3) )/(1+5) ,(1(-2)+5(4) )/(1+5) )`

=
`((6)/(6) , (18)/(6) )`

= (1 , 3)

Final answer:-

The co-ordinates of B (1,3 )