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10th

>Maths

>Pair of Linear Equations in Two Variables

>Pair of Linear Equations in Two Variables

>On comparing the ratios a1/...

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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.

9x+3y+12=0;18x+6y+24=0

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Answer

Correct option is

C

Coincident

The given linear equation are

⇒9x+3y+12=0....eq1

⇒a

1

=9,b

1

=3,c

1

=12

⇒18x+6y+24...eq2

⇒a

2

=18,b

2

=6,c

2

=24

⇒

a

2

a

1

=

18

9

=

2

1

⇒

b

2

b

1

=

6

3

=

2

1

⇒

c

2

c

1

=

24

12

=

2

1

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 coincidents