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JEE Advanced2012MathematicsTrigonometric EquationsActual

Let , [0,2 ] be such that 2 (1- )= ² ( 2 + 2 ) -1, (2 - )>0 and -1 < < - 3 2 , then cannot satisfy

Options

  1. A0 < < 2
  2. B2 < < 4 3
  3. C4 3 < < 3 2
  4. D3 2 < < 2

Correct answer

A. 0 < < 2

Step-by-step solution

As (2 - )>0 and -1 < < - 3 2 , [0,2 ] Hence 3 2 < < 5 3 Now 2 (1- )= ² ( 2 + 2 ) -1 2 (1- )=2 -1 2 +1=2 ( + ) As ( 3 2 , 5 3 ), 1 < 2 ( + ) < 2 As + ( 6 , 5 6 ) or ( + ) ( 13 6 , 17 6 ) We have (- 3 2 ,- 2 3 ) ( 2 3 , 7 6 )

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