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MHT CET20244 May 2024Morning ShiftMathematicsInverse Trigonometric FunctionsActual

If ( ⁻¹(x+1) )= ( ⁻¹ x ) then considering positive square roots, x has the value

Options

  1. A0
  2. B9 4
  3. C1 2
  4. D- 1 2

Correct answer

D. - 1 2

Step-by-step solution

aligned & ( ⁻¹(x+1) )= ( ⁻¹ x ) & [ ⁻¹ 1 x^2+2 x+2 ]= [ ⁻¹ 1 1+x^2 ] & 1 x^2+2 x+2 = 1 1+x^2 & 1+x^2 = x^2+2 x+2 & 1+x^2=x^2+2 x+2 & 2 x+1=0 & x= -1 2 aligned

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