Multiple Choice Questions on If tan alpha and tan beta are the roots of the equation x sup2 5x 3 0 then find the value of tan alp........... for CDS Exam Preparation

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Multiple Choice Questions

If tan alpha and tan beta are the roots of the equation x sup2 5x 3 0 then find the value of tan alp...........

Quantitative Aptitude (CDS) Quadratic Equations
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    If tan??α ?and tan β are the roots of the equation x²+5x+3=0 then find the value of tan ( α+ β ) .

    5/2

    Correct Answer

    5

    Incorrect Answer

    3/7

    Incorrect Answer

    2/5

    Incorrect Answer
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    Explanation:

    SOR = tanα+tanβ=-5
    POR = tanα .tanβ=3
    tan??(α+β)=? (tanα+tanβ)/(1-tanα .tanβ)  =  (-5)/(1-3)=5/2

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