JEE MATHEMATICS MCQ: ELLIPSE

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Analyzing +4 | -1

\frac{x^2}{f(4 a)}+\frac{y^2}{f\left(a^2-5\right)}

represents an ellipse with major axis as

Y

-axis and

f

is a decreasing function, then

View answer and explanation

Correct option: D

a \in(-1,5)

Option D (

a \in(-1,5)

) is correct because the condition for the major axis to be the Y-axis leads to the inequality

a^2-5 < 4a

, which gives the specified interval.

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