10) The line FG is a diameter of the circle with centre C (6, 1). Given F is (2.-3), find the coordinates of G.

Question

asked Jul 7, 2021 204k views

1 Answer

Gon · Answer 1 · 2021-07-12T13:24:46+0000

Answer:

Coordinates of the endpoint g is (10,5)

Explanation:

The coordinates of a midpoint can be found using the formula;

(x,y) = (x1 + x2)/2 , (y1 + y2)/2

In this case, we have the mid point but we want to get the end point

Thus;

(6,1) = (x1 + 2)/2 , (y1-3)/2

x1 + 2 = 2(6)

x1 + 2 = 12

x1 = 12-2

x1 = 10

y1 - 3 = 2(1)

y1 -3 = 2

y1 = 2 + 3

y1 = 5

The coordinates of G are (10,5)