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KCET2011MathematicsLimits

_ x a [ a+2 x - 3 x 3 a+x -2 x ] is equal to

Options

  1. A2 3
  2. B2 3
  3. C3 3 2
  4. D2 3 3

Correct answer

D. 2 3 3

Step-by-step solution

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

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