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MHT CET202411 May 2024Morning ShiftMathematicsInverse Trigonometric FunctionsActual

The value of ⁻¹ 1+x - 1-x 1+x + 1-x + 1 2 ⁻¹ x is

Options

  1. A2
  2. B4
  3. C0
  4. D3

Correct answer

B. 4

Step-by-step solution

Let x= 2 array ll & = 1 2 ⁻¹ x & ⁻¹ ( 1+x - 1-x 1+x + 1-x ) & = ⁻¹ ( 1+ 2 - 1- 2 1+ 2 + 1- 2 ) & = ⁻¹ ( 2 - 2 2 + 2 ) & ⁻¹ ( 1- 1+ ) & = ⁻¹(1)- ⁻¹( ) & = 4 - & = 4 - 1 2 ⁻¹ x array aligned & ⁻¹ ( 1+x - 1-x 1+x + 1-x )+ 1 2 ⁻¹ x & = 4 - 1 2 ⁻¹ x+ 1 2 ⁻¹ x= 4 aligned

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