Question

Given that A = (0, 4) and B = (6,6), find the point
Con the x-axis such that AB = BC.​

Answer 1

Answer:

Answer

Given, the points A(5,2),B(3,4) and C(x,y) are collinear i.e., A−B−Cand AB=BC

∴ B is the mid-point of AC.

By section formula,

(

2

x+5

,

2

y+2

)=(3,4)

⟹

2

x+5

=3 and

2

y+2

=4

⟹x+5=6 and y+2=8

⟹x=1 and y=6

Hence, the coordinates of C are (1,6).