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MHT CET202313 May 2023Evening ShiftMathematicsInverse Trigonometric FunctionsActual

If ( ⁻¹ x )^2+ ( ⁻¹ x )^2= 5 ^2 8 , then the value of x is

Options

  1. A-2
  2. B-1
  3. C1
  4. D2

Correct answer

B. -1

Step-by-step solution

( ⁻¹ x )^2+ ( ⁻¹ x )^2= 5 ^2 8 ( ⁻¹ x+ ⁻¹ x )^2-2 ⁻¹ x ⁻¹ x= 5 ^2 8 ( ⁻¹ x+ ⁻¹ x )^2-2 ⁻¹ x ( 2 - ⁻¹ x )= 5 ^2 8 aligned & ^2 4 -2 2 ⁻¹ x+2 ( ⁻¹ x )^2= 5 ^2 8 & 2 ( ⁻¹ x )^2- ⁻¹ x- 3 ^2 8 =0 & ⁻¹ x=- 4 , 3 4 & ⁻¹ x=- 4 x=-1 aligned

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