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MHT CET202410 May 2024Evening ShiftMathematicsInverse Trigonometric FunctionsActual

If ⁻¹(x+2)+ ⁻¹(x-2)- ⁻¹ ( 1 2 )=0 , then one value of x is

Options

  1. A-1
  2. B1 2
  3. C1
  4. D2

Correct answer

C. 1

Step-by-step solution

aligned & ⁻¹(x+2)+ ⁻¹(x-2)- ⁻¹ ( 1 2 )=0 & ⁻¹ ( (x+2)+(x-2) 1-(x+2)(x-2) )- ⁻¹ ( 1 2 )=0 & ⁻¹ ( 2 x 5-x^2 )- ⁻¹ ( 1 2 )=0 & ⁻¹ ( 2 x 5-x^2 - 1 2 1+ 2 x 5-x^2 1 2 )=0 & ⁻¹ ( x^2+4 x-5 -x^2+x+5 )=0 & x^2+4 x-5=0 & x=-5 or x=1 aligned

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