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 In the figure given below (not drawn to scale), A, B and C are three points on a circle with centre O. The chord BA is extended to a point T such that CT becomes a tangent to the circle at point C. If ∠ATC = 30∘ and ∠ACT = 50∘, then the ∠BOA is :
(CAT 2003)
 In The Figure Given Below (not Drawn To Scale), A, B And C...


Options:
A .   100∘
B .   150∘
C .   80∘
D .   not possible to determine
Answer: Option A
:
A

 In The Figure Given Below (not Drawn To Scale), A, B And C...


∠CAT= 100∘


Therefore, ∠BAC= 80∘


∠OCT= 90∘


Therefore, ∠BCT is > 90∘


Going from answer options, answer can only be option (a)


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