Question:

Area bounded by the straight lines $x^2y-y^3-x^2+5y^2-8y+4=0$ (in sq. units) is

Step-by-Step Solution

Key Concept: Factor: $(y-1)(x^2-y^2-4y+4)=(y-1)(x^2-(y-2)^2)=(y-1)(x-y+2)(x+y-2)$. These are lines $y=1$, $x=y-2$, $x=2-y$. Find triangle formed.

Area $=1$ sq. unit.

Correct Answer: 1