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problem 732

medium algebra

On comparing the ratios \(\frac{a_1}{a_2}\), \(\frac{b_1}{b_2}\) and \(\frac{c_1}{c_2}\), find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincident: (i) \(5x - 4y + 8 = 0\) and \(7x + 6y - 9 = 0\) (ii) \(9x + 3y + 12 = 0\) and \(18x + 6y + 24 = 0\) (iii) \(6x - 3y + 10 = 0\) and \(2x - y + 9 = 0\)