Question

If a1x + b1y + c1 =0 and a2x + b2y + c2 = 0 lines are inconsistent lines, then the ratio of

their coefficients is​

Answer 1

Answer:

A1/a/2=b1/b2 not = C1/c2.

Step-by-step explanation:

it is having parallel lines

I hope my answer will help you .

Answer 2

Answer:

Ratio of their coefficients:

$\frac{a_1}{a_2} =\frac{b_1}{b_2} \neq \frac{c_1}{c_2}$

Explanation:

The lines having the ratio of their coefficients as $\frac{a_1}{a_2} =\frac{b_1}{b_2} \neq \frac{c_1}{c_2}$ are called inconsistent lines i.e., they have no solution and they are parallel to each other.

For example, let us take two line as

x + 2y - 4 = 0 and 2x + 4y - 12 = 0

Here, $a_1 = 1 ,a_2 = 2\\b_1 = 2,b_2 = 4\\c_1 = -4,c_2 = -12$

Now, $\frac{a_1}{a_2} = \frac{1}{2}$

$\frac{b_1}{b_2} = \frac{2}{4} = \frac{1}{2}$

$\frac{c_1}{c_2} = \frac{-4}{-12} =\frac{1}{3}$

$\frac{a_1}{a_2} =\frac{b_1}{b_2} \neq \frac{c_1}{c_2}$

Hence, the above given pair of lines is inconsistent and has no solution, and are parallel to each other.

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