JEE MATHEMATICS MCQ: ELLIPSE

1 Easy

1 of 1

Application +4 | -1

f(x)

is a decreasing function, then the set of values of '

k

', for which the major axis of the ellipse

\frac{x^2}{f\left(k^2+2 k+5\right)}+\frac{y^2}{f(k+11)}=1

is the

X

-axis, is

View answer and explanation

Correct option: B

k \in(-3,2)

Option B (

k \in(-3,2)

) is correct because it represents the interval where the inequality

k^2 + k - 6 < 0

holds true, ensuring that

f(k^2+2k+5) > f(k+11)

for a decreasing function f(x).

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