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MHT CET20225 Aug 2022Morning ShiftMathematicsInverse Trigonometric FunctionsActual

The value of (2 ⁻¹ x+ ⁻¹ x ) at x= 1 5 , where 0 ⁻¹ x and - 2 ⁻¹ x 2 , is

Options

  1. A- 6 5
  2. B6 5
  3. C- 2 6 5
  4. D2 6 5

Correct answer

C. - 2 6 5

Step-by-step solution

aligned & (2 ⁻¹ x+ ⁻¹ x )= ( ⁻¹ x+ ⁻¹ x+ ⁻¹ x ) & = ( ⁻¹ x+ 2 ) [ ⁻¹ x+ ⁻¹ x= 2 ] & =- ( ⁻¹ x ) & =- ( ⁻¹ 1-x^2 ) & =- 1-x^2 & =- 1- ( 1 5 )^2 [ x= 1 5 ] & =- 2 6 5 aligned

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