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Question 6
In figure, AT is a tangent to the circle with centre O such that OT = 4 cm and OTA=30 . Then , AT is equal to

(A) 4 cm
(B) 2 cm
(C) 2 3 cm
(D) 4 3 cm

 


Solution

Join OA.
We know that, the tangent at any point of a circle is perpendicular to the radius trough the point of contact.

OAT=90In ΔOAT,Cos 30=ATOT32=AT4AT=23 cm

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