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Manipal MET2014MathematicsInverse Trigonometric Functions

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

Options

  1. Aa b
  2. B2 a b
  3. C2 a b
  4. Da b

Correct answer

A. a b

Step-by-step solution

aligned & Given, ⁻¹ a x + ⁻¹ b x = 2 & ⁻¹ [ ( a x + b x ) 1- a b x^2 ]= 2 & aligned array rlr & a+b x x^2-a b & = 2 & x^2 & =a b & x & = a b array

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