# math

In the
x
y

xy−
plane, the center of a circle has coordinates
(
6
,
10
)
(6,10)
and the circle touches the
y

y−
axis at one point only. What is the radius of the circle

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1. I will interpret this as:

In the xy-plane, the center of a circle has coordinates
( 6,10) and the circle touches the y-axis at one point only. What is the radius of the circle.

If you make a sketch of the circle that has a centre of (6,10) and touches the y-axis, you can see that the radius has to be 6

It's equation must be (x-6)^2 + (y-10)^2 = 36

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