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

Question

The lines represented by the equation

$9x^{2} + 24xy + 16y^{2} + 21x + 28y + 6 = 0$ are

Answer 1

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.

Question: The lines represented by the equation \(9x^{2} + 24xy + 16y^{2} + 21x + 28y + 6 = 0\) are...