Multiple Choice Questions on Given that one root of the quadratic equation ax sup2 bx c 0 is three times the other root then find........... for CDS Exam Preparation

Back to Main Page

Multiple Choice Questions

Given that one root of the quadratic equation ax sup2 bx c 0 is three times the other root then find...........

Quantitative Aptitude (CDS) Quadratic Equations
    Download Solution PDF

    Given that one root of the quadratic equation ax² + bx + c = 0 is three times the other root then find the condition on a,b,c .

    9b² = 16ac 

    Incorrect Answer

    3b² = 16ac  

    Correct Answer

    25b² < 4ac 

    Incorrect Answer

    16b² = 9ac 

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

    Let root are α & 3α  
    So , S.O.R= α+3α=4α=-b/a             ………   (1)
    P.O.R =  α.3α=C/a
    3α²=  c/a              ……………….(2)
    On solving 1 & 2 and eliminating  α  
    we get  3b² = 16 ac

    By: bhavesh kumar singh
    ProfileResources

    Let's Discuss

    Master
    Quadratic Equations
    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