Multiple Choice Questions on CD is a direct common tangent to two circles intersecting each other at A and B Then ang CAD ang CBD........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

CD is a direct common tangent to two circles intersecting each other at A and B Then ang CAD ang CBD...........

Quantitative Aptitude ( CCS) Geometry
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    CD is a direct common tangent to two circles intersecting each other at A and B. Then, ∠CAD + ∠CBD = ?

    90°

    Incorrect Answer

    180°

    Correct Answer

    360°

    Incorrect Answer

    120°

    Incorrect Answer
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    Explanation:
    Joint AB then, ∠CAB = ∠BCD (∠s in alternate segments)
    And, ∠DAB = ∠CDB (∠s in alternate segments)
    ∠CAD = ∠CAB + ∠DAB = ∠BCD + ∠CDB
    ⇒ ∠CAD + ∠CBD = ∠BCD + ∠CDB + ∠CBD = 180° ( ∠ s of a Δ)

    By: Amit Kumar
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