Let C₁ be the curve obtained by the solution of differential equation …. Let the curve C₂ be the solution of …. If both the curves pass through (1, 1), then the area enclosed by the curves C₁ and C₂ is equal to :

Differential Equations

JEE Main 2021 · 16 Mar, Evening shift · Q3607

MathematicsMedium38×since 2002Q3607

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

2xy{{dy} \over {dx}} = {y^2} - {x^2},x > 0

. Let the curve C₂ be the solution of

{{2xy} \over {{x^2} - {y^2}}} = {{dy} \over {dx}}

. If both the curves pass through (1, 1), then the area enclosed by the curves C₁ and C₂ is equal to :

JEE Main 2021 · 16 Mar, Evening shift · Q3607

MathematicsMedium38×since 2002Q3607

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

2xy{{dy} \over {dx}} = {y^2} - {x^2},x > 0

. Let the curve C₂ be the solution of

{{2xy} \over {{x^2} - {y^2}}} = {{dy} \over {dx}}

. If both the curves pass through (1, 1), then the area enclosed by the curves C₁ and C₂ is equal to :