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Manipal MET2011MathematicsInverse Trigonometric Functions

The number of solutions of the equation 2 ⁻¹ x^2-x+1 + ⁻¹ x^2-x = 3 2 is

Options

  1. A0
  2. B2
  3. C4

Correct answer

B. 2

Step-by-step solution

Since, ⁻¹ x , ⁻¹ x are defined for x 1 and x 0 . 0 x^2-x+1 1 and 0 x^2-x 1 -1 x^2-x 0 and 0 x^2-x 0 array lr & x^2-x=0 & x=0,1 array Hence, number of solutions are two.

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