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Differential Equations question

2023 · 1 Feb · Shift 1 · Q32

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JEE Main
Mathematics
Differential Equations
2023 · 1 Feb · Shift 1 · Q32

Differential Equations question

2023 · 1 Feb · Shift 1 · Q32

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

The area enclosed by the closed curve

\mathrm{C}

given by the differential equation

\frac{d y}{d x}+\frac{x+a}{y-2}=0, y(1)=0

is

4 \pi

. Let

P

and

Q

be the points of intersection of the curve

\mathrm{C}

and the

y

-axis. If normals at

P

and

Q

on the curve

\mathrm{C}

intersect

x

-axis at points

R

and

S

respectively, then the length of the line segment

R S

is :

A
$\frac{4 \sqrt{3}}{3}$
B
$2 \sqrt{3}$
C
2
D
$\frac{2 \sqrt{3}}{3}$

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