MCQ
Which of the following sets are null sets.
- A$(\text{x:}\mid\text{x }\mid<-4,\text{x}?\text{ N})$
- ✓$2 \text{ and }3$
- C$\text{Set of all prime numbers between 15 and 19}$
- D$(\text{x : }\text{x}<5,\text{x}>6)$
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$(A)$ For the ellipse, the eccentricity is $\frac{1}{\sqrt{2}}$ and the length of the latus rectum is $1$
$(B)$ For the ellipse, the eccentricity is $\frac{1}{2}$ and the length of the latus rectum is $\frac{1}{2}$
$(C)$ The area of the region bounded by the ellipse between the lines $x=\frac{1}{\sqrt{2}}$ and $x=1$ is $\frac{1}{4 \sqrt{2}}(\pi-2)$
$(D)$ The area of the region bounded by the ellipse between the lines $x=\frac{1}{\sqrt{2}}$ and $x=1$ is $\frac{1}{16}(\pi-2)$