Question

The lines represented by the equation $x^2+2\sqrt{3}xy+3y^2-3x-3\sqrt{3}y-4=0$ , are

• A. perpendicular to each other
• B. parallel
• C. inclined at $45^o$ to each other
• D. none of these

Answer 1

Answer: (B)

The given equation can be written as $(x+\sqrt{3}y{)}^2-3(x+\sqrt{3}y)-4=0$
$\Rightarrow x+\sqrt{3}y+1=0,x+\sqrt{3}y=4$
Hence, given equation represents two parallel lines