Find, which of the following sets are empty:

The set of points of intersecting of two parallel lines.

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Solution

We know that a set that does not contain any element is called an empty set or a null set.

Given: The set of points of intersecting of two parallel lines.

And two parallel lines can never intersect.

Thus, number of elements in set will be 0.

Hence, the given set in an empty set.

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Similar questions

Find, which of the following sets are empty:

(i)The set of points of intersection of two parallel lines.

(ii) $A = {x : x \in N a n d 5 < x \leq 6}$

(iii) $B = {x : x^{2} + 4 = 0, x \in N}$

(iv) $C = {e v e n n u m b e r s b e t w e e n 6 & 10}$

(v) $D = {p r i m e n u m b e r s b e t w e e n 7 & 11}$

Note : The set, which has no element in it, is called the empty or null set.

Q. Which of the following sets are empty?
(i) A set of all even prime numbers,
(ii) B = {x|x is a capital of India}
(iii) F = {y}y is a point of intersection of two parallel lines}
(iv) G = {z|z

\in

N, 3 < z < 4}
(v) H = {t|t is a triangle having four sides

Sat true or false:

The set of points of intersection of two parallel lines is an empty set.

Q. 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.

(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]

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Empty Set

Standard VI Mathematics

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Find, which of the following sets are empty: The set of points of intersecting of two parallel lines.

We know that a set that does not contain any element is called an empty set or a null set. Given: The set of points of intersecting of two parallel lines. And two parallel lines can never intersect. Thus, number of elements in set will be 0. Hence, the given set in an empty set.

Find, which of the following sets are empty:

The set of points of intersecting of two parallel lines.

We know that a set that does not contain any element is called an empty set or a null set.

Given: The set of points of intersecting of two parallel lines.

And two parallel lines can never intersect.

Thus, number of elements in set will be 0.

Hence, the given set in an empty set.