Find the standard form of the equation of the circle.

Question

Center (4, - 2) and tangent to the line x = 1
 

Answer 1

Step 1 :

The standard form of the circle equation is .

Where (h, k ) is the center of the circle and  r  is radius of the circle.

Step 2 :

Center of the circle is and the tangent line is .

The perpendicular distance from the center to the tangent line is equal to the radius of the circle.

Perpendicular distance from to is .

Substitute the values of and in standard form of circle equation.

Solution :

The standard form of the circle equation is .