AP EAMCET2008MathematicsInverse Trigonometric Functions

If ⁻¹ ( 3 x )+ ⁻¹ ( 4 x )= 2 , then x is equal to

Options

Correct answer

B. 5

Step-by-step solution

Given that, aligned & ⁻¹ ( 3 x )+ ⁻¹ ( 4 x )= 2 & ⁻¹ ( 3 x )= 2 - ⁻¹ ( 4 x ) & ⁻¹ ( 3 x )= ⁻¹ ( 4 x ) & ⁻¹ ( 3 x )= ⁻¹ ( x^2-16 x ) & 3 x = x^2-16 x & 9=x^2-16 x^2=25 & x= 5 & x=5 aligned ( -5 is not satisfied the given equation)

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