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
- A3 only
- B2 and 3 only
- C1 and 4 only
- 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.