Question

Area of square formed by the lines $x^2y^2-2xy^2-3y^2-4x^2y+8xy+12y=0$ is

• A. 150
• B. 151
• C. 16
• D. 191

Answer 1

Answer: (C)

16

Answer 2

The given equation can be factored as $(y-4)y(x-3)(x+1)=0$. This represents four lines: $y=4$, $y=0$, $x=3$, and $x=-1$. The distance between $y=4$ and $y=0$ is 4. The distance between $x=3$ and $x=-1$ is 4. These lines form a square with side length 4. The area of the square is $4^2 = 16$.