Question

Write the relation between p and q for which the pair of equations px + 4y = 7
and 6x + qy = 15 represent parallel lines.​

Answer 1

Answer:

px + 4y = 7

6x + py = 15

Step-by-step explanation:

px + 4y = 6x + py

7 = 15

Answer 2

Answer:

Given equation,

3x+y+5=0,6x+2y+p=0

If the equations a

1

x+b

1

y+c

1

=0a

2

x+b

2

y+c

2

=0 represent parallel lines, then

a

2

a

1

=

b

2

b

1



=

c

2

c

1

So, from given equations,

a

2

a

1

=

6

3

,

b

2

b

1

=

2

1

,

c

2

c

1

=

p

5

,

∵

a

2

a

1

=

b

2

b

1



=

c

2

c

1

,

So,

p

5



=

2

1

p



=10

∵p∈R−{10}, to represent parallel lines.