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Subjects

Which set is a subset of R and has exactly one element?

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Answer and explanation

Correct answer: {√2}

A singleton is a set containing exactly one element. Since √2 is a real number, the set {√2} is a subset of R and has precisely one member. The empty set has zero elements, the interval (0, 1) has infinitely many real elements, and {1, 2} has two elements. Thus option A satisfies both conditions.

Tags

setssingleton setreal numberssubsetsPower Set and SubsetsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{√2}

Why is this the correct answer?

A singleton is a set containing exactly one element. Since √2 is a real number, the set {√2} is a subset of R and has precisely one member. The empty set has zero elements, the interval (0, 1) has infinitely many real elements, and {1, 2} has two elements. Thus option A satisfies both conditions.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.

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