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MHT CET20243 May 2024Morning ShiftMathematicsInverse Trigonometric FunctionsActual

The number of real solutions of ⁻¹ x(x+1) + ⁻¹ x^2+x+1 = 2 is

Options

  1. Aone
  2. Bzero
  3. Ctwo
  4. Dinfinite

Correct answer

C. two

Step-by-step solution

⁻¹ x(x+1) + ⁻¹ x^2+x+1 = 2 ⁻¹ x(x+1) is defined when x(x+1) 0...(i) ⁻¹ x^2+x+1 is defined when x(x+1)+1 1 or x(x+1) 0...(ii) From (i) and (ii), x(x+1)=0 x=0 or -1 Hence, number of solutions is 2 .

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