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MHT CET20244 May 2024Morning ShiftMathematicsInverse Trigonometric FunctionsActual

Considering only the Principal values of inverse functions, the set A= x 0 , ⁻¹(2 x)+ ⁻¹(3 x)= 4 .

Options

  1. Acontains two elements.
  2. Bcontains more than two elements.
  3. Cis an empty set.
  4. Dis a singleton set.

Correct answer

D. is a singleton set.

Step-by-step solution

aligned & ⁻¹(2 x)+ ⁻¹(3 x)= 4 & ⁻¹ ( 2 x+3 x 1-(2 x)(3 x) )= 4 aligned array ll & 5 x 1-6 x^2 = ( 4 ) & 5 x=1-6 x^2 & 6 x^2+5 x-1=0 & 6 x^2+6 x-x-1=0 & (6 x-1)(x+1)=0 & x= 1 6 [ x 0] array set A is a singleton set.

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