Question

Q. 6 The graphs of the equations do not intersect each other, therefore the lines represented by these equations are a) coinside by parallel c) intersecting d) overlapping​

Answer 1

Step-by-step explanation:

Given:The graphs of the equations do not intersect each other, therefore the lines represented by these equations are?

To find:

a) coincide

b) parallel

c) intersecting

d) overlapping

Solution:

If two lines are parallel,it means that they do not intersect with each at any point.

Option (b) is correct.

Example of parallel lines:

x+2y=4

2x+4y=12

Extra information:

Condition for checking without plotting the graph.

If two lines

$a_1x + b_1y + c_1 = 0 \\ a_2x + b_2y + c_2 = 0$

are parallel then

$\frac{a_1}{a_2} = \frac{b_1}{b_2} \neq \frac{c_1}{c_2}$

and thus the system is inconsistent.

Final answer:

Option B is correct.

Lines are parallel.

Hope it helps you.

To learn more on brainly:

Solve the following pair of linear equations graphically. Also write the observations.

(ii) x + 2y = 4 ; 2x + 4y = 12

https://brainly.in/question/41692833