MCQ
If $A − B = ∅,$ then relation between $A$ and $B$ is:
  • A
    $\text{A }\phi\text{ B}$
  • B
    $\text{B}\cup\text{A}$
  • $\text{A}\cap\text{B}$
  • D
    $\text{A} = \text{B}$

Answer

Correct option: C.
$\text{A}\cap\text{B}$
If $A$ and $B$ are disjoint it would mean $A$ is a null set. Otherwise $A$ and $B$ must be equal to $A ∩ B$ at least

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

The sum of the co $-$ efficients of all odd degree terms in the expansion of$(\text{x}+\sqrt{\text{x}^3-1})^5+(\text{x}+\sqrt{\text{x}^3-1})^5(\text{x}>1)$ is:
If $\cos(\text{A}-\text{B})=\frac35$ and $\tan\text{A}\tan\text{B}=2,$ then
Consider the parabola $y^2=8 x$. Let $\Delta_1$ be the area of the triangle formed by the end points of its latus rectum and the point $P\left(\frac{1}{2}, 2\right)$ on the parabola, and $\Delta_2$ be the area of the triangle formed by drawing tangents at $P$ and at the end points of the latus rectum. Then $\frac{\Delta_1}{\Delta_2}$ is
The interior angles of a polygon are in $A.P.$ If the smallest angle be ${120^o}$ and the common difference be $5^o$, then the number of sides is
The area (in sq. units) of the region consisting of points $(x,y)$ on $X-Y$ plane which satisfy $\left| x \right| \le 1 + \left| y \right|$ and $\left| y \right| \le 1$
An ellipse and a hyperbola have the same centre origin, the same foci and the minor-axis of the one is the same as the conjugate axis of the other. If $ e_1, e_2 $ be their eccentricities respectively, then  $e_1^{ - 2} + e_2^{ - 2}$ equals
Sum of the solutions of the equation $\left[ {{x^2}} \right] - 2x + 1 = 0$ is (where $[.]$ denotes greatest integer function)
If $A = \{1, 2, 4\}, B = \{2, 4, 5\}$ and $C = \{2, 5\},$ then $\ce{(A − B) \times (B − C)} =$
Let e denote the base of the natural logarithm. The value of the real number a for which the right hand limit

$\lim _{x \rightarrow 0^{+}} \frac{(1-x)^{\frac{1}{x}}-e^{-1}}{x^a}$

is equal to a nonzero real number, is. . . . . . . 

Maximum length of chord of the ellipse $\frac{{{x^2}}}{8} + \frac{{{y^2}}}{4} = 1$, such that eccentric angles of its extremities differ by $\frac{\pi }{2}$ is