CBSE BoardEnglish MediumSTD 11 ScienceApplied MathsSets and Relations1 Mark
MCQ
If $P=\left\{x: \frac{x-8}{2}=4\right\}$, the $P$ is a
A
empty set
✓
singleton set
C
infinite set
D
none of these
✓
Answer
Correct option: B.
singleton set
(B) singleton set Explanation : Given, $P=\left\{x: \frac{x-8}{2}=4\right\}$, therefore, $\frac{x-8}{2}=4 \Rightarrow x-8=8 \Rightarrow x=16$ $\begin{array}{l}\Rightarrow \text { Set } P \text { will have one element i.e., } P=\{16\} \\ \Rightarrow \text { Set } P \text { is not a empty set, it is a singleton set. }\end{array}$
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