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BITSAT2015MathematicsSets and RelationsActual

Universal set, U= x x⁵-6 x⁴+11 x³-6 x²=0 A= x x²-5 x+6=0 B = x x ²-3 x +2=0 What is (A B)^ equal to ?

Options

  1. A1,3
  2. B1,2,3
  3. C0,1,3
  4. D0,1,2,3

Correct answer

C. 0,1,3

Step-by-step solution

U= x: x⁵-6 x⁴+11 x³-6 x²=0 Solving for values of x , we get U = 0,1,2,3 A = x : x ²-5 x +6=0 Solving for values of x , we get A = 2,3 and B = x : x ²-3 x +2=0 Solving for values of x , we get B = 2,1 A B= 2 (A B)^ =U-(A B)= 0,1,2,3 - 2 = 0,1,3

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