by comparing the ratios a1/a2,b1/b2,c1/c2,state whether the line represented by the following pairs of linear equation intersect a

2 thoughts on “by comparing the ratios a1/a2,b1/b2,c1/c2,state whether the line represented by the following pairs of linear equation intersect a”

1. 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

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2. ur answer is up dear copy it it’s simple one

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