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NDA2013MathematicsInverse Trigonometric FunctionsActual

If ⁻¹ ( 2 a 1+a^2 )+ ⁻¹ ( 2 b 1+b^2 )=2 ⁻¹ x , then x is equal to

Options

  1. Aa-b 1+a b
  2. Ba-b 1-a b
  3. C2 a b a+b
  4. Da+b 1-a b

Correct answer

D. a+b 1-a b

Step-by-step solution

aligned & a 0, b 0 & 2 ⁻¹ a+2 ⁻¹ b=2 ⁻¹ x & 2 ⁻¹ ( a+b 1-a b )=2 ⁻¹ x aligned x= a+b 1-a b

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