Multiple Choice Questions on The two adjacent sides of a cyclic quadrilateral are 2 cm and 5 cm and the angle between them is 60 ........... for CDS Exam Preparation

Back to Main Page

Multiple Choice Questions

The two adjacent sides of a cyclic quadrilateral are 2 cm and 5 cm and the angle between them is 60 ...........

Quantitative Aptitude (CDS) Coordinate Geometry
    Download Solution PDF

    The two adjacent sides of a cyclic quadrilateral are 2 cm and 5 cm and the angle between them is 60°. If the third 'side is 3 cm, then the fourth side is of length

    2 cm

    Correct Answer

    3 cm

    Incorrect Answer

    4 cm

    Incorrect Answer

    5 cm

    Incorrect Answer
    छोटे Courses बड़े Results
    Master Coordinate Geometry
    Prepare through Micro-courses
    Try Now
    Explanation:

    In ΔABC

    AC2=AB2+BC2−2×AB×BC×cos60°

    =4+25−2×2×5×(1/2) =19
    In ΔACD,
    AC2=AD2+CD2−2×AD×CD×cos120°
    ⇒19=9+CD2−2×3×CD×(−1/2)
    ⇒CD2+3CD−10=0
    ⇒(CD+5)(CD−2)=0
    ⇒CD=2cm
    (CD cannot be negative)

    By: Munesh Kumari
    ProfileResources

    Let's Discuss

    Master
    Coordinate Geometry
    With abhipedia
    Micro Courses
    Try Now
    What our students have to say
    Review on us
    Download Abhipedia Android App

    Access to prime resources

    Downlod from playstore
    download android app download android app for free