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AP EAMCET201923 Apr 2019Morning ShiftMathematicsInverse Trigonometric FunctionsActual

The solution of the equation ( ⁻¹ x+ ⁻¹ 2 x= 3 ) is

Options

  1. A(- 1 2 3 7 )
  2. B( 1 2 3 7 )
  3. C( 1 2 2 7 )
  4. D(- 1 3 2 7 )

Correct answer

B. ( 1 2 3 7 )

Step-by-step solution

Given equation ( ⁻¹ x+ ⁻¹ 2 x= 3 ) Let (x= ) Then, ( + ⁻¹(2 )= 3 ) ( aligned & ⁻¹(2 )= 3 - & 2 = ( 3 - )= 3 2 - 1 2 aligned ) ( aligned & 5 2 = 3 2 & = 3 5 & = 3 28 = 1 2 3 7 =x aligned ) Hence, option (b) is correct.

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