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MHT CET202410 May 2024Evening ShiftMathematicsInverse Trigonometric FunctionsActual

The value of (2 ⁻¹ x+ ⁻¹ x ) at x= 1 5 is

Options

  1. A- 6 5
  2. B2 6 5
  3. C- 2 6 5
  4. D2 5 6

Correct answer

C. - 2 6 5

Step-by-step solution

aligned & (2 ⁻¹ x+ ⁻¹ x ) & = [ ( ⁻¹ x+ ⁻¹ x )+ ⁻¹ x ] & = ( 2 + ⁻¹ x ) & =- ( ⁻¹ x ) & =- ( ⁻¹ (1-x^2 ) ) & =- 1-x^2 & =- 1- ( 1 5 )^2 & =- 24 25 & =- 2 6 5 aligned

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