detailed solution

Correct option is A

(i) x – 3y – 3 = 0 and 3x – 9y – 2 = 0

$\frac{a_1}{a_2}=\frac{1}{3}, \frac{b_1}{b_2}=\frac{-3}{-9}=\frac{1}{3},\frac{c_1}{c_2}=\frac{-3}{-2}=\frac{3}{2}$ 

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

Since, the given set of lines are parallel to each other, they will not intersect each other. Hence, there is no solution for these equations.

detailed solution

Correct answer is 1

(i) x – 3y – 3 = 0 and 3x – 9y – 2 = 0

$\frac{a_1}{a_2}=\frac{1}{3}, \frac{b_1}{b_2}=\frac{-3}{-9}=\frac{1}{3},\frac{c_1}{c_2}=\frac{-3}{-2}=\frac{3}{2}$ 

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

Since, the given set of lines are parallel to each other, they will not intersect each other. Hence, there is no solution for these equations.