JEE MATHEMATICS MCQ: ELLIPSE

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Application +4 | -1

Let

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

and

a=fog(10), b=g o f(3)

. If

e

and

l

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

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

, then

8 e^2+l^2

is equal to.

View answer and explanation

Correct option: B

Option B (8) is correct because it is the value of the expression 8e² + l² after calculating the eccentricity and latus rectum of the ellipse.

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R

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P

O