Question:
Universal set,
\[
U=\{x\mid x^5-6x^4+11x^3-6x^2=0\};
\quad A=\{x\mid x^2-5x+6=0\};
\quad B=\{x\mid x^2-3x+2=0\}.
\]
What is \((A\cap B)'\)?
Universal set,
\[
U=\{x\mid x^5-6x^4+11x^3-6x^2=0\};
\quad A=\{x\mid x^2-5x+6=0\};
\quad B=\{x\mid x^2-3x+2=0\}.
\]
What is \((A\cap B)'\)?
Show Hint
Complement is always taken with respect to universal set.
Updated On: Mar 23, 2026
- \(\{1,3\}\)
- \(\{1,2,3\}\)
- \(\{0,1,3\}\)
- \(\{0,1,2,3\}\)
Show Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Step 1: Solve: \[ U=\{0,1,2,3\},\quad A=\{2,3\},\quad B=\{1,2\} \]
Step 2: \[ A\cap B=\{2\} \]
Step 3: \[ (A\cap B)'=U-\{2\}=\{0,1,3\} \]
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