Find which of the following sets are singleton sets:

The set of points of intersection of two non-parallel straight lines on the same plane.

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Solution

Step : Check if the given set is a singleton set
We know that singleton set is a set containing only one element and it is also called a unit set.

Given:
The set of points of intersection of two non-parallel straight lines on the same plane.

Two non-parallel lines on the same plane will intersect only at one point.

So, the given set contains only one element

Hence, the set of points of intersection of two non-parallel straight lines on the same plane is a singleton set.

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Similar questions

Which of the following sets are singleton sets?

State whether the following set is singleton set or not.

The set of points of intersection of two non-parallel straight lines on the same plane.

If it is a singleton set then type

1

else type

0

Q. Find, which of the following sets are empty:

The set of points of intersecting of two parallel lines.

(a) There are two sets of parallel lines passing through a plane. A transversal cuts the two sets of lines. Find the number of distinct points of intersection.

(b) The following diagram shows parallel lines cut by a transversal. Find x. [3 MARKS]

(a) There are two sets of parallel lines passing through a plane. A transverse line is intersecting the two set of lines. Find out the number of the distinct intersecting points made by the transverse line?

(b) The following diagram shows parallel lines cut by a transversal. Find x. [3 MARKS]

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Empty Set

Standard XII Mathematics

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Find which of the following sets are singleton sets: The set of points of intersection of two non-parallel straight lines on the same plane.

Find which of the following sets are singleton sets:

The set of points of intersection of two non-parallel straight lines on the same plane.