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10th Class Mathematics Quadratic Equations Question Bank Quadratic Equation

  • question_answer
    Find the value of ?a? for which \[m=\frac{1}{\sqrt{3}}\] is a root of the equation.\[a{{m}^{2}}+\left( \sqrt{3}-\sqrt{2} \right)m-1=0.\]

    A)  \[\sqrt{2}\]                               

    B)  \[2\]

    C)  \[\sqrt{6}\]       

    D)  \[5\]

    Correct Answer: C

    Solution :

    (c): Put \[m=\frac{1}{\sqrt{3}}\Rightarrow \frac{a}{3}+\left( \sqrt{3}-\sqrt{2} \right)\frac{1}{\sqrt{3}}-1=0\] \[\Rightarrow a+\left( 3-\sqrt{6} \right)-3=0\]                    


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