parabola is drawn to pass through A and B, the ends of a diameter of a given circle of radius a, and to have as directrix a tangent to a concentric circle of radius b ; the axes being AB and a perpendicular diameter , prove that the locus of the focus of the parabola is x^2 / b^2 + y^2/b^2-a^2=1

Raghav , 7 Years ago

Grade 11