MCQ
Which of the following statement is false (where $A$ $\&$ $B$ are two non empty sets)
- A$A - B = A \cap B'$
- B$A - B = A - (A \cap B)$
- ✓$A - B = A - B'$
- D$A - B = (A \cup B) - B$
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
where $A = {\sin ^2}\alpha - \sin \alpha + \frac{1}{4}$
and $B = {\tan ^2}\alpha + \frac{2}{{\sqrt 3 }}\tan \alpha + \frac{1}{3}$ , then the number of value $(s)$ of $\alpha $ in $\left[ { - \frac{{3\pi }}{2},2\pi } \right]$ is - (where $sgnx$ denotes signum function of $x$ )
$R _{1}=\left\{( a , b ) \in R ^{2}: a ^{2}+ b ^{2} \in Q \right\}$ and $R _{2}=\left\{( a , b ) \in R ^{2}: a ^{2}+ b ^{2} \notin Q \right\}$
where $Q$ is the set of all rational numbers. Then