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Distance between Parallel Lines

For the given...

Question

For the given equation of the pair of lines $6 x^{2} + 12 x y + 6 y^{2} - 7 x - 7 y + 1 = 0$ . Find the angle between the lines.

\frac{π}{2}

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π

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0

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\frac{π}{4}

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Solution

The correct option is A $0$
Here $2 h = 12$
$h = 6$
And
$a = b = 6$
Thus
$h^{2} - a b$
$= 36 - (6) (6)$
$= 0$
Hence the constituent lines are parallel.

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