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MHT CET20228 Aug 2022Evening ShiftMathematicsInverse Trigonometric FunctionsActual

If ⁻¹ 2 x+ ⁻¹ 3 x= 4 , then value of x is

Options

  1. A1 6
  2. B- 1 6
  3. C1
  4. D5 6

Correct answer

A. 1 6

Step-by-step solution

aligned & ⁻¹ 2 x+ ⁻¹ 3 x= 4 & ⁻¹ ( 2 x+3 x 1-2 x 3 x )= ⁻¹(1) & 5 x 1-6 x^2 =1 & 6 x^2+5 x-1=0 & (6 x-1)(x+1)=0 & x= 1 6 or x=-1 & x= 1 6 satisfies the equation aligned

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