

A tangent is a straight line that touches a curve. In this question, the circle has an x-axis as a tangent.

Exercise 12Ĭalculate the equation of the circle that passes through the point (0, −3), whose radius is and whose center is on the angle bisector of the first and third quadrants.Ĭalculate the center coordinates and radius of the following circles, if applicable:Ĭalculate the equation of the circle that has its center at (2, −3) and has the x-axis as a tangent. Exercise 11įind the equation of the circle that passes through the points A = (2, 1) and B = (−2, 3) and has its center on the line. Exercise 9ĭetermine the points of intersection for the circle with the following lines:ĭetermine the equation of the circle which has its center at C = (3, 1) and a tangent of. What is the equation of this circle? Exercise 8įind the equation of the concentric circle to the circle which has a tangent of. The ends of the diameter of a circle are the points A = (−5, 3) and B = (3, 1). Exercise 6Ī triangle with vertices A = (0, 0), B = (3, 1) and C = (5, 7) is inscribed in a circle. Exercise 5įind the equation of the circle which is concentric to the circle with equation, and passes through the point (−3, 4). Exercise 4Ĭalculate the equation of the circle which is centered at the point of intersection of the lines and and its radius is equal to 5. Exercise 3Ĭalculate the equation of the circle that has its center at (−1, 4) and has the y-axis as a tangent.

Calculate the equation of the circle that has its center at (2, −3) and has the x-axis as a tangent.
