On comparing the ratios \(\frac{a_1}{a_2}\), \(\frac{b_1}{b_2}\) and \(\frac{c_1}{c_2}\) Discover out whether the lines representing the following system of equations intersect at a point, are parallel or coincident:
(i) \(5x – 4y + 8 = 0\) and \(7x + 6y – 9 = 0\)
Given lines are each other.
Therefore, the given pair of lines has
(ii) \(9x + 3y + 12 = 0\) and \(18x + 6y + 24 = 0\)
Given lines are each other.
Therefore, the given pair of lines has
(iii) \(6x – 3y + 10 = 0\) and \(2x – y + 9 = 0\)
Given lines are each other.
Therefore, the given pair of lines has
Answer variants:
unique solution
infinitely many solutions
parallel
coincides
intersect
no solution