Question

On camparing the ratio a1* a2, b1*b2, c1*c2 find out whether the following are consistent or inconsitnet

Answer 1

Step-by-step explanation:

What's your doubt?

10th

>Maths

>Pair of Linear Equations in Two Variables

>Pair of Linear Equations in Two Variables

>On comparing the ratios a1/...

Maths

Bookmark

On comparing the ratios

a

2

a

1

,

b

2

b

1

and

c

2

c

1

find out whether the following pair of linear equations are consistent or inconsistent.

3

4

x+2y=8;2x+3y=12

Medium

share

Share

Answer

Correct option is

A

Consistent

The equations are

⇒

3

4

x+2y−8=0

⇒a

1

=

3

4

,b

1

=2,c

1

=−8

⇒2x+3y−12=0

⇒a

2

=2,b

2

=3,c

2

=−12

⇒On comparing

a

2

a

1

,

b

2

b

1

,

c

2

c

1

⇒

3

2

,

3

2

,

3

2

⇒Here

a

2

a

1

=

b

2

b

1

=

c

2

c

1

∴ System is consistent

verified_toppr

Answer verified by Toppr

veeresh