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Find the standard form of the equation of the circle.

0 votes

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

asked Jan 8, 2015 in PRECALCULUS by anonymous
edited Jan 8, 2015 by bradely

1 Answer

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Step 1 :

The standard form of the circle equation is image.

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

Step 2 :

Center of the circle is image and the tangent line is image.

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

Perpendicular distance from image to image is image.

image

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

image

Solution :

The standard form of the circle equation is image.

answered Feb 25, 2015 by lilly Expert

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