Hyperbola and circle intersect at four points. Show that three of them are vertices of an equilateral triangle.
Follow Math Help Forum on Facebook and Google+
Hello atreyyu Originally Posted by atreyyu Hyperbola and circle intersect at four points. Show that three of them are vertices of an equilateral triangle. Let and , where . Then lies on the circle for all . Circle intersects hyperbola where: Now express the LHS as , and the RHS as , where Then show that there are three values of that differ by and . Can you do it now? Grandad
View Tag Cloud