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MHT CET202310 May 2023Morning ShiftMathematicsLimitsActual

The value of _ x a a+2 x - 3 x 3 a+x -2 x is

Options

  1. A1 3 3
  2. B2 3
  3. C2 3 3
  4. D4 3 3

Correct answer

C. 2 3 3

Step-by-step solution

aligned & _ x a a+2 x - 3 x 3 a+x -2 x & = _ x a ( a+2 x - 3 x )( a+2 x + 3 x )( 3 a+x +2 x ) ( 3 a+x -2 x )( 3 a+x +2 x )( a+2 x + 3 x ) & = _ x a (a+2 x-3 x)( 3 a+x +2 x ) (3 a+x-4 x)( a+2 x + 3 x ) & = _ x a (a-x)( 3 a+x +2 x ) 3(a-x)( a+2 x + 3 x ) aligned aligned & = 1 3 ( 3 a+a +2 a ) ( a+2 a + 3 a ) & = 4 a 3 2 3 a & = 2 3 3 aligned

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