Multiply both sides of the equation by a2 to get x2y2a2 which is the standard equation for a circle with a radius of a. The sum of two focal points would always be a constant. X 2 a 2 y 2 b 2 1 similar to the equation of the hyperbola.
Group the x- and y-terms on the left-hand side of the equation.
Since A and B are on the ellipse d 1 d 2 d 3 d 4. Also find Mathematics coaching class for various competitive exams and classes. Length of minor axis 2 2b hence b 1. By the definition of an ellipse d1 d2 d 1 d 2 is constant for any point xy x y on the ellipse.