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If tanxxtanxxtan-1(x-1x+2)+tan-1(x+1x+2)=π4, then x is equal to ____________. -

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Question

If `"tan"^-1 (("x" - 1)/("x" + 2)) + "tan"^-1 (("x" + 1)/("x" + 2)) = pi/4,` then x is equal to ____________.

Options

  • `1/sqrt2`

  • `-1/sqrt2`

  • `pm sqrt(5/2)`

  • `pm 1/2`

MCQ
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Solution

If `"tan"^-1 (("x" - 1)/("x" + 2)) + "tan"^-1 (("x" + 1)/("x" + 2)) = pi/4,` then x is equal to `underline(pm sqrt(5/2))`.

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