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Class 10MathematicsSetsThe Empty Set, Finite and Infinite Sets, Equal SetsEasyLevel 2

What type of set is A = {x : x is a triangle with four sides}?

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Answer and explanation

Correct answer: Empty set

By definition, a triangle is a polygon with exactly three sides. An object cannot simultaneously be a triangle and have four sides, so no object satisfies the condition defining A. A set with no elements is called the empty set and is represented by ∅. Hence A is empty, and option A is correct.

Tags

setsempty-setgeometrydefinitionsThe Empty SetFinite and Infinite SetsEqual Setsthe empty set finite and infinite sets equal setsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

Empty set

Why is this the correct answer?

By definition, a triangle is a polygon with exactly three sides. An object cannot simultaneously be a triangle and have four sides, so no object satisfies the condition defining A. A set with no elements is called the empty set and is represented by ∅. Hence A is empty, and option A is correct.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.

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