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Ellipse question

2025 · 4 Apr · Shift 2 · Q35

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JEE Main
Mathematics
Ellipse
2025 · 4 Apr · Shift 2 · Q35

Ellipse question

2025 · 4 Apr · Shift 2 · Q35

JEE MainMathematicsEllipseMCQ+4 / −1

The centre of a circle C is at the centre of the ellipse

\mathrm{E}: \frac{x^2}{\mathrm{a}^2}+\frac{y^2}{\mathrm{~b}^2}=1, \mathrm{a}\gt \mathrm{b}

. Let C pass through the foci

F_1

and

F_2

of E such that the circle

C

and the ellipse

E

intersect at four points. Let P be one of these four points. If the area of the triangle

\mathrm{PF}_1 \mathrm{~F}_2

is 30 and the length of the major axis of

E

is 17 , then the distance between the foci of

E

is :

A
12
B
26
C
13
D
$\frac{13}{2}$

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