The circle equation $\"\"$

Where Center = $\"\"$ , radius = $\"\"$

$\"\"$

The circle equation is $\"\"$

$\"\"$

Find the line perpendicular to the tangent line $\"\"$ and passes through $\"\"$

Compare it to the slope intercept form of a lie $\"\"$

Where $\"\"$ is slope and $\"\"$ is $\"\"$ intercept.

$\"\"$

The line is parallel to the x - axis.

Horizontal line slope $\"\"$

Therefore, the perpendicular line is parallel to y - axis.

Slope of the vertical line is undefined.

The line perpendicular to the tangent line $\"\"$

Find the point of intersection of $\"\"$ and $\"\"$

The lines are intersecting at $\"\"$

The distance between the $\"\"$ and $\"\"$ is radius of the circle.

$\"\"$

$\"\"$

$\"\"$

$\"\"$

$\"\"$

$\"\"$

Substitute $\"\"$ in equation (1).

$\"\"$

$\"\"$

The circle equation is $\"\"$