Let C1 be the curve obtained by solution of differential equation 2xydydx=y2−x2, x>0. Let the curve C2 be the solution of 2xyx2−y2=dydx. If both the curves pass through (1,1), then the area enclosed by the curves C1 and C2 is equal to :

Let C1 be the curve obtained by solution of differential equation 2xyd

1.	Let C1 be the curve obtained by solution of differential equation 2xydydx=y2−x2, x>0. Let the curve C2 be the solution of 2xyx2−y2=dydx. If both the curves pass through (1,1), then the area enclosed by the curves C1 and C2 is equal to :
Answer» Let $C_{1}$ be the curve obtained by solution of differential equation $2 x y \frac{d y}{d x} = y^{2} - x^{2},$ $x > 0.$ Let the curve $C_{2}$ be the solution of $\frac{2 x y}{x^{2} - y^{2}} = \frac{d y}{d x} .$ If both the curves pass through $(1, 1),$ then the area enclosed by the curves $C_{1}$ and $C_{2}$ is equal to :