On comparing the ratios \(\frac{a_1}{a_2}\), \(\frac{b_1}{b_2}\) and \(\frac{c_1}{c_2}\) Detect out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincident:
(i) \(\sqrt{3}x - \sqrt{5}y = 0\) and \(\sqrt{5}x + \sqrt{3}y = 0\)
Given lines are each other.
Therefore, the given pair of lines has
(ii) \(6x + 9y = 21\) and \(2x + 3y = 5\)
Given lines are each other.
Therefore, the given pair of lines has
(iii) \(0.8x - 0.3y - 2.5 = 0\) and \(0.4x + 0.6y - 3.2 = 0\)
Given lines are each other.
Therefore, the given pair of lines has
Answer variants:
unique solution
infinitely many solutions
intersect
parallel
coincides
no solution