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MHT CET202620 April 2026Evening ShiftMathematicsInverse Trigonometric FunctionsActual

If 3 ⁻¹ ( 2x 1 + x^2 ) - 4 ⁻¹ ( 1 - x^2 1 + x^2 ) + 2 ⁻¹ ( 2x 1 - x^2 ) = 3 then x = ?

Options

  1. A3
  2. B1
  3. C1 3
  4. D-1

Correct answer

C. 1 3

Step-by-step solution

Assuming 0 ⁻¹ ( 2x 1 + x^2 ) = 2 ⁻¹x ⁻¹ ( 1 - x^2 1 + x^2 ) = 2 ⁻¹x ⁻¹ ( 2x 1 - x^2 ) = 2 ⁻¹x Substituting these into the given equation yields: 3(2 ⁻¹x) - 4(2 ⁻¹x) + 2(2 ⁻¹x) = 3 6 ⁻¹x - 8 ⁻¹x + 4 ⁻¹x = 3 2 ⁻¹x = 3 ⁻¹x = 6 x = ( 6 ) = 1 3 Since x = 1 3 satisfies the condition 0 Answer: 1 3

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