Multiple Choice Questions on The chord AB of a circle of centre O subtends an angle Theta with tangent at A to the circle ang ABO........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

The chord AB of a circle of centre O subtends an angle Theta with tangent at A to the circle ang ABO...........

Quantitative Aptitude ( CCS) Geometry
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    The chord AB of a circle of centre O subtends an angle Θ with tangent at A to the circle. ∠ABO is

    Θ

    Incorrect Answer

    90° – Θ

    Correct Answer

    90° + Θ

    Incorrect Answer

    2(π – Θ)

    Incorrect Answer
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    Explanation:

    ∠BAS = ∠AOB = Θ
    (angles in alternate segments)
    ∠OAB = 90° –  ∠BAS
    ∠OAB = 90° – Θ
    ∠OAB = ∠ABO
    [?  OA = OB]
    ∠ABO = 90° – Θ

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