Multiple Choice Questions on Given that a b c are real then find the nature of roots of this equation a c b x sup2 2cx b c n........... for CDS Exam Preparation

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Multiple Choice Questions

Given that a b c are real then find the nature of roots of this equation a c b x sup2 2cx b c n...........

Quantitative Aptitude (CDS) Quadratic Equations
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    Given that a,b,c are real  then find the nature of roots of this equation (a+c-b) x² + 2cx + (b + c –a ) = 0  . 

    real and equal 

    Incorrect Answer

    real and unequal 

    Incorrect Answer

    imaginary roots 

    Incorrect Answer

    only real

    Correct Answer
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    Explanation:

    Formula D = b² - 4ac were from given equation  
    A → ( a+c-b) 
    B → 2c
    C → ( b + c –a )
    Put these value in the above equation and on solving it we get finally D = 4 ( a- b )² 
     hence D ≥ O
    so roots are only real

    By: bhavesh kumar singh
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