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JEE Main201911 Jan 2019Evening ShiftMathematicsInverse Trigonometric FunctionsActual

All x satisfying the inequality ( ⁻¹ x )²-7 ( ⁻¹ x )+10> 0 , lie in the interval :

Options

  1. A(- , 5) ( 4, 2)
  2. B( 2, )
  3. C(- , 5) ( 2, )
  4. D( 5, 4)

Correct answer

B. ( 2, )

Step-by-step solution

( ⁻¹ x )²-7 ( ⁻¹ x )+10>0 ( ⁻¹ x-5 ) ( ⁻¹-2 )>0 ⁻¹ x (- , 2) (5, ) But ⁻¹ x lies in (0, ) Now, from equation (1) ⁻¹ x (0,2) Now, it is clear from the graph x ( 2, )

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