MCQ
Which of the following statements is false:
- A$\text{A} - \text{B = A}\cap\text{B}'$
- B$\text{A} - \text{B = A} - \text{(A}\cap\text{B)}$
- ✓$\text{A} - \text{B = A}-\text{B}'$
- D$\text{A} - \text{B = (A}\cup\text{B)}-\text{B.}$
✓
Answer
Correct option: C.
$\text{A} - \text{B = A}-\text{B}'$
It includes all those elements of $A$ which do not belongs to complement of $B$ which is equal to $\text{A}\cap\text{B}$ but not equal to $A - B.$
$\therefore (c)$ is false.
$\therefore (c)$ is false.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
If the number of five digit numbers with distinct digits and $2$ at the $10^{\text {th }}$ place is $336 \mathrm{k}$, then $\mathrm{k}$ is equal to
→The inequality representing the following graph is:
If $\sin ^2 \theta=3 \cos ^2 \theta$, then the value of $\theta$ is :
→If $\alpha, \beta$ are roots of the equation $x^{2}+5 \sqrt{2} x+10=0, \alpha\,>\,\beta$ and $P_{n}=\alpha^{n}-\beta^{n}$ for each positive integer $\mathrm{n}$, then the value of $\left(\frac{P_{17} P_{20}+5 \sqrt{2} P_{11} P_{19}}{P_{18} P_{19}+5 \sqrt{2} P_{18}^{2}}\right)$ is equal to $....$
→If the complex number $\text{z}=\text{x}+\text{iy}$ satisfies the condition $|\text{z}+1|=1,$ then $z$ lies on:
→If the inequality $kx^2 -2x + k \geq 0$ holds good for atleast one real $'x'$ , then the complete set of values of $'k'$ is
→Let $P( - 1,\,0),\,$$Q(0,\,0)$ and $R\,(3,\,3\sqrt 3 )$ be three point . The equation of the bisector of the angle $PQR $ is
→If $\cos^4 \theta +\alpha, \sin^4 \theta + \alpha$ are the roots of the equation $x^2+2bx + b = 0$ and $\cos^2 \theta + \beta, \sin^2 \theta + \beta$ are the roots of the equation $x^2+4x+2 = 0$ then find $b$ ?
→The length of common chord of the circles ${x^2} + {y^2} = 12$ and ${x^2} + {y^2} - 4x + 3y - 2 = 0$, is
→If the chord $y = mx + 1$ of the circle ${x^2} + {y^2} = 1$ subtends an angle of measure ${45^o}$ at the major segment of the circle then value of $m$ is
→