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Q.
The lines represented by the equation $x^{2}+2\sqrt{3}xy+3y^{2}-3x-3\sqrt{3}y-4=0$ , are
NTA AbhyasNTA Abhyas 2022Straight Lines
Solution:
The given equation can be written as $\left(\right. x + \sqrt{3} y \left.\right)^{2} - 3 \left(\right. x + \sqrt{3} y \left.\right) - 4 = 0$
$\Rightarrow x + \sqrt{3} y + 1 = 0 , \, x + \sqrt{3} y = 4$
Hence, given equation represents two parallel lines