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12th Class Mathematics Sample Paper Maths Olympiad Model Paper-4

  • question_answer
    If \[{{\sin }^{-1}}\frac{2a}{1+{{a}^{2}}}-{{\cos }^{-1}}\frac{1-{{b}^{2}}}{1+{{b}^{2}}}={{\tan }^{-1}}\frac{2x}{1-{{x}^{2}}},\] then \[x=\]

    A)  a                                

    B)  b

    C)  \[\frac{a+b}{1-ab}\]                

    D)  \[\frac{a-b}{1+ab}\]

    E)  None of these

    Correct Answer: D

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