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Ellipse question

2024 · 1 Feb · Shift 2 · Q39

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JEE Main
Mathematics
Ellipse
2024 · 1 Feb · Shift 2 · Q39

Ellipse question

2024 · 1 Feb · Shift 2 · Q39

JEE MainMathematicsEllipseMCQ+4 / −1

Let

\mathrm{P}

be a point on the ellipse

\frac{x^2}{9}+\frac{y^2}{4}=1

. Let the line passing through

\mathrm{P}

and parallel to

y

-axis meet the circle

x^2+y^2=9

at point

\mathrm{Q}

such that

\mathrm{P}

and

\mathrm{Q}

are on the same side of the

x

-axis. Then, the eccentricity of the locus of the point

R

on

P Q

such that

P R: R Q=4: 3

as

P

moves on the ellipse, is :

A
$\frac{13}{21}$
B
$\frac{\sqrt{139}}{23}$
C
$\frac{\sqrt{13}}{7}$
D
$\frac{11}{19}$

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