Correct Answer - D
Let P be an external point and a pair of tangents is drawn from point P and angle between these two tangents is `60^(@)`
Join OA and OP.
Also, OP is a bisector line of `angleAPC`
`:.angleAPO=angleCPO=30^(@)`
Also, `OAbotAP` Tengent at any point of a circle is perpendicular to the radius through the point of contact.
In right angled `DeltaOAP,` `tan30^(@)=(OA)/(AP)=(3)/(AP)`
`rArr(1)/(sqrt3)=(3)/(AP)`
`rArrAP=3sqrt3cm`
Hence, the length of each tangent is `3sqrt3cm`.
