JEE Main · MathematicsEasy

$Which of the following sets is a singleton set?$

A. ${x : x^{2} = 1, x \in R}$
B. ${x : x^{2} + 1 = 0, x \in R}$
C. ${x : x^{2} = 0, x \in R}$
D. ${x : x \in Z, 1 < x < 2}$

Show correct answer & step-by-step solution

Correct answer: C — ${x : x^{2} = 0, x \in R}$

Solution

A singleton set contains exactly one element. The equation x^{2} = 0 has only one real solution, x = 0, so the set is {0} .

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