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MHT CET202616 April 2026Morning ShiftMathematicsInverse Trigonometric FunctionsActual

( ⁻¹ (- 1 2 ) + 3 ) =

Options

  1. A0
  2. B-1
  3. C1
  4. D1 2

Correct answer

B. -1

Step-by-step solution

The principal value branch of ⁻¹(x) is [0, ] . We know that ( 2 3 ) = - 1 2 . Therefore, ⁻¹ (- 1 2 ) = 2 3 . Substituting this into the given expression: ( ⁻¹ (- 1 2 ) + 3 ) = ( 2 3 + 3 ) = ( ) = -1 Answer: -1

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