Determine whether the statement is true or false. The circle (x - 1) ^2 + (y + 1) ^2 = 9 intersects the y-axis.

Question

Mathematics

Alyssa Blackwell

28 June, 18:57

Determine whether the statement is true or false. The circle (x - 1) ^2 + (y + 1) ^2 = 9 intersects the y-axis.

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Dud · Answer 1

From that equation we know the center is: (1,-1) and the radius is three. Since the distance from the center to (0,0) is:

d^2=1^2+1^2

d^2=2

d=√2

Since d
So the statement saying that the circle intersects the y-axis is true.