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
- Aa-b 1+a b
- Ba-b 1-a b
- C2 a b a+b
- 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