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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
Fill in the Blanks
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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