A, b, and c are collinear, and b is between a and c. the ratio of ab to bc is 1: 1

Therefore the coordinates of C is

C(4,9).

Step-by-step explanation:

Given:

Point A , B , and C are Collinear.

i.e A-B-C is a Straight Line

AB : BC = 1 : 1

i.e B is the Mid Point of AC.

And Point A , B and C lie on the Same Line

point A( x₁ , y₁) ≡ ( 0 ,-9)

point B( x , y) ≡ (2 , 0)

To Find:

point C( x₂ , y₂) ≡ ?

Solution:

B is the Mid Point of AC. Hence by Mid point Formula,

Substituting the values we get

Substituting x and y value we get

Therefore the coordinates of C is

C(4,9).

the anwser is d) 75°

step-by-step explanation: