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Does equation x^2+2y^2-2sqrt(3)x-4y+5=0 ...

Does equation `x^2+2y^2-2sqrt(3)x-4y+5=0` satisfies the condition `a b c+2gh-af^2-bg^2-c h^2=0?` Does it represent a pair of straight lines?

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To determine if the equation \( x^2 + 2y^2 - 2\sqrt{3}x - 4y + 5 = 0 \) satisfies the condition \( abc + 2gh - af^2 - bg^2 - ch^2 = 0 \) and whether it represents a pair of straight lines, we will follow these steps: ### Step 1: Identify coefficients from the given equation The given equation is: \[ x^2 + 2y^2 - 2\sqrt{3}x - 4y + 5 = 0 \] We can compare this with the general form of a conic section: \[ Ax^2 + 2Hxy + By^2 + 2Gx + 2Fy + C = 0 \] ...
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