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Railways Sample Paper RRB (Assistant Loco Pilot & Technician) Sample Test Paper-2

  • question_answer
    Find the value of p so that the sum of the roots of the quadratic equation \[p{{x}^{2}}+2x+3p=0\] is equal to their product.

    A)  \[\frac{2}{3}\]                         

    B)  \[\frac{2}{3}\]

    C)  \[\frac{3}{2}\]             

    D)       \[\frac{3}{2}\]

    Correct Answer: C

    Solution :

     \[p{{x}^{2}}+2x+3p=0\] Here, \[a=p,b=2,c=3p\] Some of the roots  \[=\frac{-b}{a}=\frac{-2}{p}\]product of roots  \[=\frac{c}{a}=\frac{3p}{p}\] Since sum of roots = product of roots \[\therefore \] \[\frac{-2}{p}=\frac{3p}{p}\]\[p=\frac{-2}{3}\]


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