Multiple Choice Questions on if the roots of the equation 2 X 2 5X b 0 are in the ratio of 2 3 then first the value of b ........ for CDS Exam Preparation

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Multiple Choice Questions

if the roots of the equation 2 X 2 5X b 0 are in the ratio of 2 3 then first the value of b ........

Quantitative Aptitude (CDS) Quadratic Equations
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    if the roots of the equation 2 X^2 - 5X + b=0 are in the ratio of 2:3, then first the value of b?

     

    3
     

    Correct Answer

    4
     

    Incorrect Answer

    5
     

    Incorrect Answer

    6

    Incorrect Answer
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    Explanation:

    Let the roots of the equation 2a and 3b respectively. 
    Sum of the roots 2a + 3b=-(-5/2)
                                5a=5/2
                                a=½
    Product of the roots =2a × 3a=b/2
    6a^2=b/2
    b=6a^2 × 2
    b=12a^2
    a=½
    b=12/4=3

    By: bhavesh kumar singh
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