The lines represented by the equation $9 x^{2} + 24 x y + 16 y^{2} + 21 x + 28 y + 6 = 0$ are

Parallel

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Coincident

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Perpendicular

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skew lines

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Solution

The correct option is A
Parallel

Given lines are not perpendicular i.e., a $\neq$ -b

Checking for parallel lines, $\frac{a}{h} = \frac{h}{b} = \frac{g}{f}$

(3x + 4y + 6)(3x + 4y + 1) = 0 $\Rightarrow \frac{9}{12} = \frac{12}{16} = \frac{21}{28}$

Hence lines are parallel.

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Similar questions

The lines represented by the equation $9 x^{2} + 24 x y + 16 y^{2} + 21 x + 28 y + 6 = 0$ are

9 x^{2} - 24 x y + 16 y^{2} - 12 x + 16 y - 12 = 0

9 x^{2} - 24 x y + 16 y^{2} - 12 x + 16 y - 12 = 0

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