8th Class Mathematics Algebraic Expressions Question Bank Algebra

  • question_answer
    What must be added to x/y to make y/x?

    A)  \[x=\frac{\sqrt{5}+\sqrt{3}}{\sqrt{5}-\sqrt{3}}\]              

    B)  \[{{x}^{3}}+\frac{1}{{{x}^{3}}}\]

    C)  \[3x-2=\frac{8}{x}.\]            

    D)  \[\left( -\frac{3}{4},2 \right)\]

    Correct Answer: A

    Solution :

    Let f(x, y) must be added to find the required result, then \[\frac{x}{y}+f(x,y)=\frac{y}{x}\]\[-1\]\[f(x,y)=\frac{y}{x}-\frac{x}{y}=\frac{{{y}^{2}}-{{x}^{2}}}{yx}\]


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