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99 Percentile Qs Bank for JEE MainMathematicsInverse Trigonometric Functions

If ⁻¹ x- ⁻¹ x= 6 , then x is equal to

Options

  1. A1 2
  2. B3 2
  3. C- 1 2
  4. D- 3 2

Correct answer

B. 3 2

Step-by-step solution

We have ⁻¹ x- ⁻¹ x= 6 Let A= ⁻¹ x array ll & x= A, A= 1-x^2 and & B= ⁻¹ x & x= B, B= 1-x^2 array Now, aligned (A-B) & = A B- A B & =x x- 1-x^2 1-x^2 & =x^2-1+x^2 ( 6 ) & =2 x^2-1 2 x^2-1 & = 1 2 2 x^2= 3 2 x^2= 3 4 x & = 3 2 aligned

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