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[Music] what would be the range of angles that a pair of intersecting tangents of a circle can make when the point of intersection is very close to the circle then the angle would be close to 180 degree and when the point of intersection goes farther from the circle the angle also decreases at a particular point the intersection angle made by the tangents would be equal to 90 degrees if we go on take the locus of all such points of intersection of tangents which makes 90 degree or right angle we get a circle which we call as the director circle we can define such locus points with a particular property with respect to any curve you will encounter such director circles when you learn more about conic sections because of the unique properties the interesting properties they possess but as far as circles are concerned we look into how the equation of directed circles comes about i said that tangents make right angles with each other so if we draw these radii lines and the lines connectin
