Question

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

• A. Parallel
• B. Coincident
• C. Perpendicular
• D. None of these

Answer 1

The correct option is A

Parallel

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