Multiple Choice Questions on Given that the equation x sup2 x 3 0 has roots alpha amp beta than find a quadratic equation ha........... for CDS Exam Preparation

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Multiple Choice Questions

Given that the equation x sup2 x 3 0 has roots alpha amp beta than find a quadratic equation ha...........

Quantitative Aptitude (CDS) Quadratic Equations
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    Given that the equation x² +x + 3 = 0 has roots α &  β than find a quadratic equation having roots 1/α  and  1/β . 

    x^2+x-3=0

    Incorrect Answer

    3x^2+x-1=0

    Incorrect Answer

    x^2+2x+1=0

    Incorrect Answer

    3x²+x+1=0 

    Correct Answer
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    Explanation:

    New equation x-(SOR)x+(POR)=0
    SOR = 1/α+ 1/β = (α+β)/αβ= -1/3 
    POR = 1/αβ=1/3 
    Hence , x²-(-1/3)+1/3=0 
    3x²+x+1=0 

    By: bhavesh kumar singh
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