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Consider the ellipse (x^2)/(f(k^2+2k+5))...

Consider the ellipse `(x^2)/(f(k^2+2k+5))+(y^2)/(f(k+11))=1.` If `f(x)` is a positive decr4easing function, then the set of values of `k` for which the major axis is the x-axis is `(-3,2)dot` the set of values of `k` for which the major axis is the y-axis is `(-oo,2)dot` the set of values of `k` for which the major axis is the y-axis is `(-oo,-3)uu(2,oo)` the set of values of `k` for which the major axis is the y-axis is `(-3,-oo,)`

A

the set of values of k for which the major axis of the ellipse is x-axis is `(-3,2)`

B

the set of values of k for which the major axis of the ellipse is y-axis is `(-oo,2)`

C

the set of values of k for which the major axis of the ellipse is y-axis is `(-oo,-3)cup(2,oo)`

D

the set of values of k for which the major axis of the ellipse is x-axis is `(-3,oo)`

Text Solution

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The correct Answer is:
A, C
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