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Pair of Straight Lines — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsPair of Straight Lines1 Mark
Question
Show that lines represented by $x^2+4 x y+4 y^2=0$ are coincident.
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Answer

Comparing given equation with $a x^2+2 h x y+b y^2=0$, we get $a=1, h=2$ and $b=4$.As,
$\begin{array}{c}h^2-a b=(2)^2-(1)(4) \\ =4-4=0\end{array}$
$\therefore$ Lines represented by $x^2+4 x y+4 y^2=0$ are coincident

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