10th Class Mathematics Related to Competitive Exam Question Bank Algebra

  • question_answer
    The value of \[x\] satisfying the equation\[{{x}^{2}}+{{p}^{2}}={{(q-x)}^{2}}\] is

    A) \[\frac{{{p}^{2}}-{{q}^{2}}}{2}\]

    B) \[\frac{{{q}^{2}}-{{p}^{2}}}{2q}\]  

    C) \[\frac{{{q}^{2}}-{{p}^{2}}}{2}\]

    D) \[\frac{{{p}^{2}}-{{q}^{2}}}{2q}\]

    Correct Answer: B

    Solution :

                    \[{{x}^{2}}+{{p}^{2}}={{q}^{2}}-2qx+{{x}^{2}}\] or            \[{{x}^{2}}+2qx-{{x}^{2}}={{q}^{2}}-{{p}^{2}}\] or            \[2qx={{q}^{2}}-{{p}^{2}}\] or            \[x=\frac{{{q}^{2}}-{{p}^{2}}}{2q}\]


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