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MHT CET202314 May 2023Evening ShiftMathematicsInverse Trigonometric FunctionsActual

Given 0 x 1 2 , then the value of ( ⁻¹ ( x 2 + 1-x^2 2 )- ⁻¹ x ) is

Options

  1. A1
  2. B3
  3. C-1
  4. D1 3

Correct answer

A. 1

Step-by-step solution

aligned & [ ⁻¹ ( x 2 + 1-x^2 2 )- ⁻¹ x ] & = [ ⁻¹ ( x+ 1-x^2 2 )- ⁻¹ x ] & = [ ⁻¹ ( + 2 )- ] [ array l Put ⁻¹ x= x= array ] & = [ ⁻¹ [ ( + 4 ) ]- ] & = ( + 4 - ) & = 4 =1 aligned

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