Question

Find the value of p if the equations 3 5 0 and 6 2 2 0 are parallel.


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Answer 1

Step-by-step explanation:

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.