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NDA2018MathematicsInverse Trigonometric FunctionsActual

Consider the following values of x : 1. 8 2. -4 3. 1 6 4. - 1 4 Which of the above values of x is/are the solutions of the equation ⁻¹(2 x)+ ⁻¹(3 x)= 4

Options

  1. A3 only
  2. B2 and 3 only
  3. C1 and 4 only
  4. D4 only

Correct answer

A. 3 only

Step-by-step solution

⁻¹ ( 2 x+3 x 1-2 x .3 x )= 4 gathered ⁻¹ 5 x 1-6 x^2 = 4 5 x 1-6 x^2 =1 1-6 x^2=5 x 6 x^2+5 x-1=0 (6 x-1)(x+1)=0 x= 1 6 ,-1 gathered x= 1 6 Here x=-1 rejected.

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