The word ‘coincide’ means that it occurs at the same time. In terms of Maths, the coincident lines are lines that lie upon each other in such a way that when we look at them, they appear to be a single line, instead of double or multiple lines.
If we see in the figure of coincident lines, it appears as a single line, but in actual we have drawn two lines here. First, we drew a line of purple color and then on top of it drew another line of black color.
Coincident Lines Equation
When we consider the equation of a line, the standard form is:
y = mx + b
Where m is the slope of the line and b is the intercept.
Equation of Parallel Lines:
Now, in the case of two lines which are parallel to each other, we represent the equations of the lines as:
y = m1x + b1
And y = m2x + b2
For example, y = 2x + 2 and y = 2x + 4 are parallel lines. Here, the slope is equal to 2 for both the lines and the intercept difference between them is 2. Hence, they are parallel at a distance of 2 units.
Equation of Coincident Lines:
When we speak about coincident lines, the equation for lines is given by;
ax + by = c
When two lines are coinciding to each other, then there could be no intercept difference between them.
For example, x + y = 2 and 2x + 2y = 4 are coinciding lines. The second line is twice the first line.
Because if we put ‘y’ on the Left-hand side and the rest of the equation on the Right-hand side, then we get;
If one event coincides with another, they happen at the same time. The exhibition coincides with the 50th anniversary of his death. Synonyms: occur simultaneously, coexist, synchronize, be concurrent More Synonyms of coincide. 2. reciprocal verb.
Explanation:
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Answer:
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Explanation:
Coincident Lines Definition
The word ‘coincide’ means that it occurs at the same time. In terms of Maths, the coincident lines are lines that lie upon each other in such a way that when we look at them, they appear to be a single line, instead of double or multiple lines.
If we see in the figure of coincident lines, it appears as a single line, but in actual we have drawn two lines here. First, we drew a line of purple color and then on top of it drew another line of black color.
Coincident Lines Equation
When we consider the equation of a line, the standard form is:
y = mx + b
Where m is the slope of the line and b is the intercept.
Equation of Parallel Lines:
Now, in the case of two lines which are parallel to each other, we represent the equations of the lines as:
y = m1x + b1
And y = m2x + b2
For example, y = 2x + 2 and y = 2x + 4 are parallel lines. Here, the slope is equal to 2 for both the lines and the intercept difference between them is 2. Hence, they are parallel at a distance of 2 units.
Equation of Coincident Lines:
When we speak about coincident lines, the equation for lines is given by;
ax + by = c
When two lines are coinciding to each other, then there could be no intercept difference between them.
For example, x + y = 2 and 2x + 2y = 4 are coinciding lines. The second line is twice the first line.
Because if we put ‘y’ on the Left-hand side and the rest of the equation on the Right-hand side, then we get;
First Line: y = 2 – x …… (1)
Second line: 2y = 4 – 2x
2y = 2(2 – x)
y = 2 – x ………………….(2)
From equation (1) and (2),
Both the lines are the same.
Hence, they coincide.
Verified answer
Answer:
If one event coincides with another, they happen at the same time. The exhibition coincides with the 50th anniversary of his death. Synonyms: occur simultaneously, coexist, synchronize, be concurrent More Synonyms of coincide. 2. reciprocal verb.
Explanation :
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