Consider the ellipse x2fk2+2k+5+y2f(k+11)=1. If f(x) is a positive decreasing function, then

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

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

the set of values of k for which the major axis is the y-axis is (−∞,−3)∪(2,∞)

the set of values of k for which the major axis is the y-axis is (-3, ∞)

answer is A.

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Detailed Solution

f(x) is a decreasing function and for the major axis to be the x-axis,fk2+2k+5>f(k+11)or k2+2k+5

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