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Question

The graph for the following system of equations :

2x+3y=5 and 6x+9y=40 is shown

S1: a1a2= b1b2 ≠  c1c2

S2 : The two lines intersect each other.


  1. S1 is true but S2 is false

  2. S1 is false but S2 is true

  3. S1 and S2 are true

  4. S1 and S2 are false


Solution

The correct option is A

S1 is true but S2 is false


For a pair of equations, a1x + b1y + c1= 0 and a2x +b2y +c2 = 0 , if a1a2 = b1b2 ≠ c1c2 , then the lines are parallel. 

For the given equations

2x+3y=5 and 6x+9y=40

26 = 39 ≠ 540

Hence the lines are parallel and do not intersect each other.

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