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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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