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Show that lines represented by x2 + 6xy + 9y2 = 0 are coincident. |
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Answer» Comparing the equation x2 + 6xy + 9y2 = 0 with ax2 + 2hxy + by2 = 0, we get, a = 1, 2h = 6, i.e. h = 3 and b = 9 Since h2 – ab = (3)2 – 1(9) = 9 – 9 = 0, . the lines represented by x2 + 6xy + 9y2 = 0 are coincident. |
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