Multiple Choice Questions on In the given figure AB is a diameter of the circle with centre O and XY is the tangent at a point C ........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

In the given figure AB is a diameter of the circle with centre O and XY is the tangent at a point C ...........

Quantitative Aptitude ( CCS) Geometry
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    In the given figure, AB is a diameter of the circle with centre O and XY is the tangent at a point C. If ∠ACX = 35°, then what is the value (in degrees) of ∠CAB ?

    45

    Incorrect Answer

    35

    Incorrect Answer

    55

    Correct Answer

    65

    Incorrect Answer
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    Explanation:

    ∠ACB = 90 [angle on semicircle is always 90]
    ∠ACX = 35
    ∠ACX = ∠ABC = 35° (it is a property)
    So, ∠BAC or ∠CAB = (90 – 35) = 55°

    By: Amit Kumar
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