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If tanxtany + tanzx,y,xtan-1x+tan-1y + tan-1z=π2,x,y,x>0, then the value of xy+yz+zx is ____________. -

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Question

If `"tan"^-1 "x" + "tan"^-1"y + tan"^-1 "z" = pi/2, "x,y,x" > 0,` then the value of xy+yz+zx is ____________.

Options

  • `pi/2`

  • 1

  • 0

  • not defined

MCQ
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Solution

If `"tan"^-1 "x" + "tan"^-1"y + tan"^-1 "z" = pi/2, "x,y,x" > 0,` then the value of xy+yz+zx is 1.

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