The lesson starts with the basic formulas of a circle, namely, equation of a circle with center at the origin and radius r, equation of the circle with center (h, k) and radius r and the diameter form of the circle. 2 problems are discussed here,
how to find the equation of a circle with center at the origin and passing through a point and how to find the equation of a circle passing through the origin and cutting off intercepts -2 and 3 on the coordinate axes. Here, we use the fact that the angle in a semicircle is a right angle.
GENERAL FORM OF A CIRCLE
General form of a circle formula. What is the equation of a circle passing through the center of a circle and concentric with another circle? What is the equation of a circle passing through the points (0,0), (0,1) and (2,3)?
A part of Class 11 Mathematics CBSE and ISC. Online tuitions available for the full course or semester wise or just specific topics.