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Differential Equations question

2021 · 16 Mar · Shift 2 · Q31

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JEE Main
Mathematics
Differential Equations
2021 · 16 Mar · Shift 2 · Q31

Differential Equations question

2021 · 16 Mar · Shift 2 · Q31

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

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

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

A
${\pi \over 4}$ + 1
B
$\pi$ + 1
C
$\pi-$ 1
D
${\pi \over 2}-$ 1

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