Show that lines represented by equation x²-6xy+9y²=0 are coincident
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Step-by-step explanation:
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. = 9 - 9 = 0, the 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.
Step-by-step explanation:
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