What type of set is the set of all lines passing through a fixed point?
Answer and explanation
Correct answer: Infinite set
Through one fixed point, a line can be drawn in every possible direction. Different directions produce different lines, and there is no finite limit on the number of directions or lines. Hence the collection contains infinitely many lines. It is therefore an infinite set, not an empty, finite, or two-element set.
Frequently asked questions
What is the correct answer to this question?
Infinite set
Why is this the correct answer?
Through one fixed point, a line can be drawn in every possible direction. Different directions produce different lines, and there is no finite limit on the number of directions or lines. Hence the collection contains infinitely many lines. It is therefore an infinite set, not an empty, finite, or two-element set.
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.
