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If tanaxtanbxtan-1(ax)+tan-1(bx)=π2, then x is equal to ____________. -

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Question

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

Options

  • `sqrt"ab"`

  • `sqrt(2"ab")`

  • 2ab

  • ab

MCQ
Fill in the Blanks

Solution

If `"tan"^-1 ("a"/"x") + "tan"^-1 ("b"/"x") = pi/2,` then x is equal to `underline(sqrt"ab")`.

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