Definition of semi circle: As the name suggests, a semi circle is half of a circle. If an arc of a circle with its two ends on the diameter of a circle cuts the circle, the two arcs obtained are called semi circles. We can see semi-circular shapes around us in the form of a spe...
By eliminating θ and simplifying, we can show that the locus of the center C(h,k) satisfies the definition of a parabola. ConclusionThus, we conclude that the locus of the center of the variable circle is always a parabola. --- Show More ...