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MHT CET20225 Aug 2022Morning ShiftMathematicsInverse Trigonometric FunctionsActual

If ( ⁻¹ 1 5 + ⁻¹ x )=1 , then the value of x is

Options

  1. A2 + 1 5
  2. B2 - 1 5
  3. C- 1 5
  4. D1 5

Correct answer

D. 1 5

Step-by-step solution

Given that ( ⁻¹ 1 5 + ⁻¹ x ) = 1 , the argument must satisfy ⁻¹ 1 5 + ⁻¹ x = 2 . Using the identity ⁻¹ y + ⁻¹ y = 2 for y [-1, 1] , we identify x = 1 5 . Since 1 5 lies within the domain of ⁻¹ x , this solution is valid.

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