
When two lines are parallel, the distance between them is _____
A.Always equal
B.Not equal
C.Increases
D.None of these
Answer
523.2k+ views
Hint: We know that there are several types of lines. Some are line segments, some are lines and some of them are parallel lines. A parallel line is a set of straight lines. We should know that if the lines are straight in any direction then it can be a parallel line. If it is uneven or curved from any side then it cannot be a parallel line.
Complete step-by-step answer:
We should know that when two lines are parallel, then the distance between them is constant. Parallel lines remain the same distance apart over their entire length. No matter how far we extend them, they will never meet.
In order for two lines to be parallel they must be drawn in the same place. We know that the distance between two parallel lines in the plane is the minimum distance between any two points lying on the lines. The distance formula between two parallel lines is $d = \sqrt {{{({x_2} - {x_1})}^2} + {{({y_2} - {y_1})}^2}} $, where $d$is the shortest distance .
So when two lines are parallel, the distance between them is always equal.
Hence the correct option is (a) Always equal.
So, the correct answer is “Option A”.
Note: We should note that there are many examples of parallel lines that we see in our daily lives. Some of them are railway tracks, ladder rungs and so on. They maintain the same distance between each other if extended till infinity. All through their paths, these lines are not inclined towards each other at any angle.
Complete step-by-step answer:
We should know that when two lines are parallel, then the distance between them is constant. Parallel lines remain the same distance apart over their entire length. No matter how far we extend them, they will never meet.
In order for two lines to be parallel they must be drawn in the same place. We know that the distance between two parallel lines in the plane is the minimum distance between any two points lying on the lines. The distance formula between two parallel lines is $d = \sqrt {{{({x_2} - {x_1})}^2} + {{({y_2} - {y_1})}^2}} $, where $d$is the shortest distance .
So when two lines are parallel, the distance between them is always equal.
Hence the correct option is (a) Always equal.
So, the correct answer is “Option A”.
Note: We should note that there are many examples of parallel lines that we see in our daily lives. Some of them are railway tracks, ladder rungs and so on. They maintain the same distance between each other if extended till infinity. All through their paths, these lines are not inclined towards each other at any angle.
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