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BITSAT2022MathematicsInverse Trigonometric FunctionsActual

If x (0, 2 ) then the value of ⁻¹ ( 7 2 (1+ 2 x)+ ( ^2 x-48 ^2 x ) x ) is equal to

Options

  1. Ax- ⁻¹(7 x)
  2. Bx+ ⁻¹(7 x)
  3. Cx+ ⁻¹(6 x)
  4. Dx+ ⁻¹(7 x)

Correct answer

A. x- ⁻¹(7 x)

Step-by-step solution

y= ⁻¹ ( 7 2 (1+ 2 x)+ ( ^2 x-48 ^2 x ) x )= ⁻¹ ((7 x)( x)+ 1-49 ^2 x 1- ^2 x )= ⁻¹( x)- ⁻¹(7 x) [ x < 7 x]=x- ⁻¹(7 x)

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