Multiple Choice Questions on PQ and RS are common tangents to two circles intersecting at A and B AB when produced both sides mee........... for SSC CGL Exam Preparation

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Multiple Choice Questions

PQ and RS are common tangents to two circles intersecting at A and B AB when produced both sides mee...........

Quantitative Aptitude (CGL) Coordinate Geometry
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    PQ and RS are common tangents to two circles intersecting at A and B. AB, when produced both sides, meet the tangents PQ and RS at X and Y, respectively. If AB = 3 cm, XY = 5 cm, then PQ (in cm) will be

    3 cm

    Incorrect Answer

    4 cm

    Incorrect Answer

    5 cm

    Incorrect Answer

    2 cm

    Correct Answer
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    Explanation:


    XY=XA+AB+BY 
    ?AX=BY
    XY=2AX+AB
    5=2AX+3
    AX=1cm
    PX^2=AX×XB=1×4
    PX=√4=2cm
    ∴C^2=OX^2=XA×XB=1×4
    OX^2=√4=2
    So, PQ=PX+XQ=2+2=4cm

    By: MIRZA SADDAM HUSSAIN
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