Multiple Choice Questions on O and O 39 are the center of the two circles with radii 7cm and 9cm respectively The distance betwee........... for Logical Reasoning ( All Exams ) Preparation

Back to Main Page

Multiple Choice Questions

O and O 39 are the center of the two circles with radii 7cm and 9cm respectively The distance betwee...........

Logical Reasoning(Master ) Arithmetical Reasoning
    Download Solution PDF

    O and O' are the center of the two circles with radii 7cm and 9cm respectively. The distance between the centers is 20cm. If PQ be the transverse common tangent to the circles, which cuts OO' at X, what is the length of O'X in cm ?

    10

    Incorrect Answer

    6

    Incorrect Answer

    35/4

    Incorrect Answer

    45/4

    Correct Answer
    छोटे Courses बड़े Results
    Master Arithmetical Reasoning
    Prepare through Micro-courses
    Try Now
    Explanation:

    As clear from the figure itself, triangle OQX and triangle O'PX are similar.

    So,

    OQ/O'P = OX/O'X

    => OX = (7/9)xO'X

    And since, OX + O'X = 20

    => (7/9)xO'X + O'X = 20

    => O'X = 45/4

    Hence, option 4 is the correct answer.

    By: Amit Kumar
    ProfileResources

    Let's Discuss

    Master
    Arithmetical Reasoning
    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