Question

The pair of equations x=1 and y=1 represents (a) parallel lines (b) coincident lines (c) intersecting lines which are​

Answer 1

Answer:

Option (c) is the correct answer.

Step-by-step explanation:

(a) Parallel lines

The lines in a plane that are always the same distance apart are called parallel lines.

Also, parallel lines never intersect.

Thus, equations x = 1 and y = 1 are not the equations of parallel lines.

Hence, option (a) is incorrect.

(b) Coincident lines

The lines that lie completely upon each other.

In other words, such pair of lines when we look at them, they appear to be a single line instead of double lines.

Thus, equations x = 1 and y = 1 are not the equations of coincident lines.

Hence, option (b) is incorrect.

(c) Intersecting lines

The lines that cross each other in a plane and have a common point is called an intersecting lines.

The pair of equations x = 1 and y = 1 represents the intersecting lines.

The point of intersection is (1, 1).

Hence, option (c) is correct.

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Answer 2

Answer:

Given: The pair of equations x=1 and y=1

To find: The correct option.

Step-by-step explanation:

• The lines that cross each other in a plane and have a common point is called an intersecting lines.
• The point of intersection given is (1, 1).

The equations are x=1 and y=1.

The graph of x=1 is a line parallel to the y-axis and y=1 is a line parallel to the x-axis.

∴ the angle between them is 90 °

, i.e. they intersect.

So, the equations are consistent.

Now solving simultaneously, the solution is (1,1).

So, therefore the point of intersection is (1,1).

Hence, We can say The pair of equations x=1 and y=1 represents intersecting lines.

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