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Manipal MET2018MathematicsInverse Trigonometric Functions

If 3 ⁻¹ ( 2 x 1+x^2 )-4 ⁻¹ ( 1-x^2 1+x^2 )+2 ⁻¹ ( 2 x 1-x^2 )= 3 , then x is equal to

Options

  1. A1 3
  2. B- 1 3
  3. C3
  4. D- 3 2

Correct answer

A. 1 3

Step-by-step solution

Given, aligned & 3 ⁻¹ ( 2 x 1+x^2 )-4 ⁻¹ ( 1-x^2 1+x^2 ) & +2 ⁻¹ ( 2 x 1-x^2 )= 3 & 6 ⁻¹ x-8 ⁻¹ x+4 ⁻¹ x= 3 & 2 ⁻¹ x= 3 & ⁻¹ x= 6 & x= 6 = 1 3 aligned

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