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MHT CET202013 Oct 2020Morning ShiftMathematicsInverse Trigonometric FunctionsActual

If ⁻¹ ( 1-x 1+x )- 1 2 ⁻¹ x=0 , for x>0 , then x=

Options

  1. A3
  2. B1 2
  3. C1 3
  4. D1 3

Correct answer

C. 1 3

Step-by-step solution

Here ⁻¹ ( 1-x 1+x )= 1 2 ⁻¹ x ⁻¹ [ 1-x 1+(1)(x) ]= 1 2 ⁻¹ x ⁻¹(1)- ⁻¹ x= 1 2 ⁻¹ x 4 = 3 2 ⁻¹ x ⁻¹ x= 4 2 3 ⁻¹ x= 6 x= 6 = 1 3

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