Question

On comparing the ratio of the coefficients, find out whether the lines representing the pair of linear equations intersect at a point, are parallel or coincident-
6x – 3y + 10 = 0 and 2x – y + 9 = 0​

Answer 1

Answer:

MATHS

MEDIUM

On comparing the ratios

a

2

a

1

,

b

2

b

1

and

c

2

c

1

, find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincident.

6x−3y+10=0;2x−y+9=0

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ANSWER

The given linear equation are

⇒6x−3y+10=0....eq1

⇒a

1

=6,b

1

=−3,c

1

=10

⇒2x−y+9=0...eq2

⇒a

2

=2,b

2

=−1,c

2

=9

⇒

a

2

a

1

=

3

6

⇒=

1

3

⇒

b

2

b

1

=

−1

−3

⇒

c

2

c

1

=

9

10

comparing

⇒

a

2

a

1

,

b

2

b

1

,

c

2

c

1

⇒

a

2

a

1

=

b

2

b

1



=

c

2

c

1

Hence,the line represented by eq1 and eq2 are parallel.