Multiple Choice Questions on find the value of lambda for which the equation x sup2 2 lambda x 6 lambda 8 0 has non real roots nb........... for CDS Exam Preparation

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Multiple Choice Questions

find the value of lambda for which the equation x sup2 2 lambda x 6 lambda 8 0 has non real roots nb...........

Quantitative Aptitude (CDS) Quadratic Equations
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    find the value of λ for which the equation x²+2λx+(6λ-8)=0 has non real roots . 

    λ  ∈(2 ,4 )

    Correct Answer

    λ ∈(-2 ,4)

    Incorrect Answer

    λ ∈(-4 ,-2)

    Incorrect Answer

    λ ∈(-∞ ,2)  ∪( 4 ,∞ )

    Incorrect Answer
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    Explanation:

    condition for non real roots D < 0
    b² - 4ac < 0
    4λ²-4.1.( 6λ- 8 ) < 0
    λ²-( 6λ- 8 ) < 0
    (λ- 2)(λ-4) < 0
     λ ∈ ( 2,4) .

    By: bhavesh kumar singh
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