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Find x satisfying [tan^(-1)x]+[cot^(-1)x...

Find `x` satisfying `[tan^(-1)x]+[cot^(-1)x]=2,` where `[.]` represents the greatest integer function.

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Knowledge Check

  • If f(x)=|x-1|.([x]=[-x]), then (where [.] represents greatest integer function)

    A
    f(a) is continuous and differentiable at x = 1
    B
    f(x) is discontinuous at x = 1
    C
    f(x) is continuous at x = 2
    D
    f(x) is continuous but non-differentiable at x= 1

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