On comparing the ratios \(\frac{a_1}{a_2}\), \(\frac{b_1}{b_2}\) and \(\frac{c_1}{c_2}\) Encounter out whether the lines representing the following simultaneous equations intersect at a point, are parallel or coincident:
(i) \(3x - 5y + 7 = 0\) and \(-6x + 10y - 14 = 0\)
Given lines are each other.
Therefore, the given pair of lines has
(ii) \(\frac{3}{2}x + \frac{5}{3}y + 7 = 0\) and \(9x + 10y + 12 = 0\)
Given lines are each other.
Therefore, the given pair of lines has
(iii) \(4x - 6y = 15\) and \(3y = 2x + 10\)
Given lines are each other.
Therefore, the given pair of lines has
Answer variants:
unique solution
intersect
coincides
infinitely many solutions
parallel
no solution