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MHT CET20249 May 2024Evening ShiftMathematicsTrigonometric EquationsActual

Let 2 ^2 x+3 x-2 0 and x^2-x-2 0 ( x is measured in radians). Then x lies in the interval

Options

  1. A( 6 , 5 6 )
  2. B(-1, 5 6 )
  3. C(-1,2)
  4. D( 6 , 2 )

Correct answer

D. ( 6 , 2 )

Step-by-step solution

aligned & 2 ^2 x+3 x-2 0 & (2 x-1)( x+2) 0 & 2 x-1 0 [ x+2 0 and x R ] & x 1 2 & x ( 6 , 5 6 ) aligned aligned & Also, x^2-x-2 0 & (x-2)(x+1) 0 & -1 x 2 aligned Since 2 5 6 x must lie in ( 6 , 2 )

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