Answer:





Step-by-step explanation:

As both
,
lies in the third quadrant.
In the third quadrant,






Answer:
The coordinates of the center of this circle is (-1, -3).
Step-by-step explanation:
As we know that
and
are points lying on circle T, the center is the midpoint of the segment AB, whose location can be obtained from Midpoint formula:





The coordinates of the center of this circle is (-1, -3).
Step-by-step explanation:
x + y = 16 (*)
x^2 + y^2 = 146 (**)
(*) <=> x= 16-y
substitute x = 16 - y
(**) <=> (16-y)^2 + y^2 = 146
<=> y^2 - 2.16.y + 16^2 + y^2 = 146
<=> 2y^2 - 32y + 110 = 0
<=> y^2 - 16y + 55 = 0
<=> (y-11)(y-5) = 0
<=> y=11 or y= 5
For y = 11, we have x= 16-11=5
For y=5, we have x= 16-5=11
Answer: (x,y) = (11,5) ; (5,11)