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MHT CET202415 May 2024Morning ShiftMathematicsTrigonometric EquationsActual

If the equation ^4 + ^4 + =0 . has real solutions for , then lies in the interval

Options

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

Correct answer

D. [-1,- 1 2 ]

Step-by-step solution

aligned & ^4 + ^4 + =0 & ( ^2 + ^2 )^2-2 ^2 ^2 + =0 & 1-2 ^2 ^2 + =0 & =2 ^2 ^2 -1 & = ^2 2 2 -1 aligned Since -1 2 1 , aligned & 0 ^2 2 1 & 0 ^2 2 2 1 2 & -1 ^2 2 2 -1 - 1 2 & [-1,- 1 2 ] aligned

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