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6th Class Mathematics Algebra Question Bank Algebra

  • question_answer
    \[\frac{x}{1-x}+\] \[\frac{y}{1-y}+\] \[\frac{z}{1-z}=1\]then, find \[\frac{1}{1-x}+\]\[\frac{1}{1-y}+\]\[\frac{1}{1-z}=?\]

    A)  1                                

    B)  2             

    C)  3                                

    D)  4

    Correct Answer: D

    Solution :

    \[\frac{x}{1-x}+\frac{y}{1-y}+\frac{z}{1-z}=1\] Adding both sides by 3 \[\frac{x}{1-x}+1+\frac{y}{1-y}+1+\frac{z}{1-z}+1=4\] \[\frac{x+1-x}{1-x}+\frac{y+1-y}{1-y}+\frac{z+1-z}{1-z}=4\] \[\frac{1}{1-x}+\frac{1}{1-y}+\frac{1}{1-z}=4\]


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