Question

If the equation of a circle is (x - 2) 2 + (y - 6) 2 = 4, it passes through point (5, 6).

Answer 1

No, the given circle is not passes through the point (5, 6).

Explanation:

The given equation is

`(x-2)^2+(y-6)^2=4`

If the circle passes through a point, then the equation of circle must be satisfied by that point.

Check the given equation by the point (5,6).

Substitute x=5 and y=6 in the given equation.

`(5-2)^2+(6-6)^2=4`

`(3)^2+(0)^2=4`

`9=4`

This statement is not true, because 9≠4.

The given circle is not passes through the point (5, 6).

Answer 2

No. The circle does not pass through that point.