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AP EAMCET201823 Apr 2018Morning ShiftMathematicsTrigonometric EquationsActual

If A= x [0,2 ] / x- ^2 x>0 and B= x [0,2 ] /| x| < 1 2 , then A B=

Options

  1. A(0, 6 ) ( , 7 6 )
  2. B(0, 4 ) ( , 7 6 )
  3. C(0, 6 ) ( 5 6 , 7 6 )
  4. D( 6 , 7 6 )

Correct answer

A. (0, 6 ) ( , 7 6 )

Step-by-step solution

aligned & If A= x [0,2 ] / x- ^2 x>0 & x- ^2 x>0 & x(1- x)>0 & 0 -1 2 & 0 < x < 6 and ( 5 6 , 2 ) and x (0, 7 6 ) & x (0, 6 ) ( 5 6 , 2 ) aligned So, A B is defined in (0, 6 ) ( , 7 6 )

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