A parabola is drawn to pass through A and B , the ends of a diameter of a given circle of radius a, and to have directrix a tangent to a concentric circle of radius b ; the axis being AB and a perpendicular daimeter,prove that the locus of the focus of the parabola isx2 /b2 + y2/b2-a2 = 1
A parabola is drawn to pass through A and B , the ends of a diameter of a given circle of radius a, and to have directrix a tangent to a concentric circle of radius b ; the axis being AB and a perpendicular daimeter,prove that the locus of the focus of the parabola is
x2 /b2 + y2/b2-a2 = 1
Abhradeep Mukhopadhyay , 9 Years ago
Grade 12
