if a tangent to an ellipse x2/a2+y2/b2=1 with slope m is a normal to the circle x2+y2+4x+1=0, then maximum value - Maths - Conic Sections

Question

if a tangent to an ellipse
x2/a2+y2/b2=1 with
slope m is a normal to the circle
x2+y2+4x+1=0, then maximum value of ab is

Koka Sri Lakshmi Divya Sai · Accepted Answer

if a tangent to an ellipse x2/a2+y2/b2=1 with slope m is a normal to the circle x2+y2+4x+1=0, then maximum value of ab is