Arun
Last Activity: 6 Years ago
Dear student
let the point of contact of tangents are M and N
then OPMN forms a cyclic quadrilateral hence angle MON = 120 degrees
now also angle MPO = 30 degrees and angle MOP = 60 degrees
as MO = a
hence in right angled triangle OPM,
sin 30 = a/ OP
OP = 2a