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Ellipse question

2024 · 30 Jan · Shift 2 · Q50

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PYQ Library
JEE Main
Mathematics
Ellipse
2024 · 30 Jan · Shift 2 · Q50

Ellipse question

2024 · 30 Jan · Shift 2 · Q50

JEE MainMathematicsEllipseMCQ+4 / −1

Let

A(\alpha, 0)

and

B(0, \beta)

be the points on the line

5 x+7 y=50

. Let the point

P

divide the line segment

A B

internally in the ratio

7:3

. Let

3 x-25=0

be a directrix of the ellipse

E: \frac{x^2}{a^2}+\frac{y^2}{b^2}=1

and the corresponding focus be

S

. If from

S

, the perpendicular on the

x

-axis passes through

P

, then the length of the latus rectum of

E

is equal to,

A
$\frac{25}{3}$
B
$\frac{25}{9}$
C
$\frac{32}{5}$
D
$\frac{32}{9}$

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