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MHT CET202519 Apr 2025Morning ShiftMathematicsInverse Trigonometric FunctionsActual

If 4 ⁻¹ x+ ⁻¹ x= then x=

Options

  1. A3 2
  2. B0
  3. C1 2
  4. D1 2

Correct answer

C. 1 2

Step-by-step solution

The equation 4 ⁻¹ x + ⁻¹ x = simplifies using the identity ⁻¹ x + ⁻¹ x = 2 . 4 ⁻¹ x + ⁻¹ x = 3 ⁻¹ x + ( ⁻¹ x + ⁻¹ x) = 3 ⁻¹ x + 2 = Isolating the inverse sine term gives 3 ⁻¹ x = - 2 = 2 . Solving yields ⁻¹ x = 6 , so x = ( 6 ) = 1 2 . Answer: x = 1 2 (Option C)

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