10th Class Mathematics Triangles Question Bank Case Based (MCQs) - Triangles

  • question_answer
    Find d in terms of x and y.

    A) \[\frac{x+y}{xy}\]

    B) \[\frac{xy}{x+y}\]

    C) \[xy\]

    D) \[\frac{x}{y}\]

    Correct Answer: B

    Solution :

    From equation, (1) and (2), we get      
    \[a+b=\frac{zd}{x}+\frac{zd}{y}=zd\left( \frac{1}{x}+\frac{1}{y} \right)\]
    \[\Rightarrow \,\,\,\,\,\,\,\,z=zd\left( \frac{y+x}{xy} \right)\]                         \[[z=a+b]\]
    \[\Rightarrow \,\,\,\,\,\,\,\,d=\frac{xy}{x+y}\]
    So, option [b] is correct.

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