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MHT CET202521 Apr 2025Evening ShiftMathematicsInverse Trigonometric FunctionsActual

The value of [ ⁻¹ ( 1-x^2 2 x )+ ⁻¹ ( 1-x^2 1+x^2 ) ] is

Options

  1. A0
  2. B1
  3. C-1
  4. D1 2

Correct answer

B. 1

Step-by-step solution

The expression E = [ ⁻¹ ( 1-x^2 2 x )+ ⁻¹ ( 1-x^2 1+x^2 ) ] simplifies to a constant through the substitution x = . For x > 0 with (0, /2) , we find that ⁻¹ ( 1-x^2 2 x ) = 2 - 2 and ⁻¹ ( 1-x^2 1+x^2 ) = 2 . Their sum is 2 , yielding E = 2 = 1 . 1

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