Question

10. The lines representing the equations a1x + bıy + c1 = 0 and a2x + b2y +C2 = 0 is as shown in the figure. Write the mathematical relation among a1,a2,b1,b2,c1 and c2​

Answer 1

SOLUTION

TO DETERMINE

The lines representing the equations $\displaystyle \sf{ a_1x+b_1y+c_1=0 \: and \: \: a_2x+b_2y+c_2=0}$ is as shown in the figure. Write the mathematical relation among

$\displaystyle \sf{ a_1 ,a_2 , b_1 , b_2 ,c_1 ,c_2}$

EVALUATION

Here the figure is missing

We dicuss the general way how check consistent and inconsistent. More precisely there is unique solution , infinite number of solution and no solution

Consistent :

Below two

Unique solution :

$\displaystyle \sf{ \: \frac{a_1}{a_2} \ne \frac{b_1}{b_2} }$

Infinite number of solutions :

$\displaystyle \sf{ \: \frac{a_1}{a_2} = \frac{b_1}{b_2} = \: \frac{c_1}{c_2}}$

Inconsistent

No solution

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

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. Draw the graph of the linear equation 3x + 4y = 6. At what points, the graph cuts X and Y-axis?

https://brainly.in/question/18185770

2. Find the point where the graph of 0.25x + 0.05y =1.00 intersects the y-axis:

https://brainly.in/question/26332017