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MHT CET202211 Aug 2022Morning ShiftMathematicsInverse Trigonometric FunctionsActual

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

Options

  1. Ax+y 1-x y
  2. Bx-y 1+x y
  3. Cx-y 1-x y
  4. Dx+y 1+x y

Correct answer

A. x+y 1-x y

Step-by-step solution

Let x= and y= aligned & 1 2 ⁻¹ 2 + 1 2 ⁻¹ 2 & = ( + ) & = + 1- = x+y 1-x y aligned

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