Question

Check whether the lines respecting the pair of linear equation 5x-4y+8=0 and 10x-8y-9=0 are interesting, parallel or coincident

Answer 1

Step-by-step explanation:

Correct option is

A

Intersect at a point

The given linear equation are

⇒5x−4y+8=0....eq1

⇒a

1

=5,b

1

=−4,c

1

=8

⇒7x+6y−9=0...eq2

⇒a

2

=7,b

2

=6,c

2

=−9

⇒

a

2

a

1

=

7

5

⇒

b

2

b

1

=

6

−4

⇒

c

2

c

1

=

9

8

comparing

⇒

a

2

a

1

,

b

2

b

1

,

c

2

c

1

⇒

a

2

a

1



=

b

2

b

1

Hence,the line represented by eq1 and eq2 intersect at a point