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Ellipse question

2024 · 9 Apr · Shift 1 · Q43

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PYQ Library
JEE Main
Mathematics
Ellipse
2024 · 9 Apr · Shift 1 · Q43

Ellipse question

2024 · 9 Apr · Shift 1 · Q43

JEE MainMathematicsEllipseMCQ+4 / −1

Let

f(x)=x^2+9, g(x)=\frac{x}{x-9}

and

\mathrm{a}=f \circ g(10), \mathrm{b}=g \circ f(3)

. If

\mathrm{e}

and

l

denote the eccentricity and the length of the latus rectum of the ellipse

\frac{x^2}{\mathrm{a}}+\frac{y^2}{\mathrm{~b}}=1

, then

8 \mathrm{e}^2+l^2

is equal to.

A
6
B
12
C
8
D
16

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