JEE MATHEMATICS MCQ: SET THEORY

1 Easy

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Analyzing +4 | -1

Universal set,

U = \left\{ {x:{x^5} - 6{x^4} + 11{x^3} - 6{x^2} = 0} \right\}

And

A = \left\{ {x:{x^2} - 5x + 6 = 0} \right\}

\;B = \left\{ {x:{x^2} - 3x + 2 = 0} \right\}

Then,

{\left( {A \cap B} \right)^\prime }

is equal to

View answer and explanation

Correct option: C

\left\{ {0,1,3} \right\}

The correct answer is C ({0,1,3}) because after finding the sets U, A, and B, the complement of their intersection (A ∩ B)' is {0,1,3}.

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