Question

Which of the following pairs of equations represents a pair of parallel lines? 7x+2y-17-0
21x+6y-34-0

4x + 3y + 7 = 0
8x + 6y + 14 = 0

3x + 5y + 17 = 0
x+2y+7=0

6x + 15y +21=0
4x+10y + 14 = 0​

Answer 1

Answer:

Step-by-step explanation:

Correct option is

A

k=3

The pair of linear equations represents parallel lines if:

a  

2

​

 

a  

1

​

 

​

=  

b  

2

​

 

b  

1

​

 

​

 



=  

c  

2

​

 

c  

1

​

 

​

 

For the given pair of equation 4x+6y−1=0 and 2x+ky−7=0;

a  

2

​

 

a  

1

​

 

​

=  

2

4

​

=2

c  

2

​

 

b  

1

​

 

​

=  

k

6

​

 

c  

2

​

 

c  

1

​

 

​

=  

−7

−1

​

=  

7

1

​

 

For  

a  

2

​

a=  b 2 b  1 ⟶k=3

The pair of linear equations represents parallel lines for k=3.