Please show us what you have tried and exactly where you are stuck.The product of the distances of any point P(x, y) to the foci of H on an isosceles hyperbola given by the equation [MATH]{H:x^{2} - y^{2} = a^{2}}[/MATH] is equal to the square of the distance P to the center of H.
Is there evidence of this?
To find some evidence, pick a point and try it.The product of the distances of any point P(x, y) to the foci of H on an isosceles hyperbola given by the equation [MATH]{H:x^{2} - y^{2} = a^{2}}[/MATH] is equal to the square of the distance P to the center of H.
Is there evidence of this?