Question

The graph for the following system of equations :

$2x+3y=5$ and $6x+9y=40$ is shown

$S_1:\frac{a_1}{a_2}=\frac{b_1}{b_2}\ne \frac{c_1}{c_2}$

S2 : The two lines intersect each other.

• A. S1 is true but S2 is false
• B. S1 is false but S2 is true
• C. S1 and S2 are true
• D. S1 and S2 are false

Answer 1

The correct option is A

S1 is true but S2 is false

For the pair of equations ,

$a_{1}x+b_{1}y+c_1=0$ and $a_{2}x+b_{2}y+c_2=0$ ,

If $\frac{a_1}{a_2}=\frac{b_1}{b_2}\ne \frac{c_1}{c_2}$ , then the system of equations satisfying the condition are parallel in nature.