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10th Class Mathematics Quadratic Equations Question Bank Quadratic Equation

  • question_answer
    If the roots of the equation \[3a{{x}^{2}}+2bx+c=0\] are in the ratio 2 : 5, then

    A)  \[8ac=25{{b}^{3}}\]              

    B)  \[6ac=19{{b}^{2}}\]     

    C)  \[40{{b}^{2}}=75ac\]       

    D)  \[8{{b}^{2}}=25ac\]

    Correct Answer: C

    Solution :

    (c): If the roots of \[a{{x}^{2}}+bx+c=0\]are in the ratio m : n, then \[{{\left( m+n \right)}^{2}}a.c=mn{{b}^{2}}.\] Use this concept to solve the problem.      


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