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x2f(4a)+y2fa2−5=1 represents an ellipse with major axis as y -axis and ' f ' is decreasing function, positive for all ‘a’, then a belongs to

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An Intiative by Sri Chaitanya

a

(1, 4)

b

(-1, 1)

c

(-1, 5)

d

(5,∞)

answer is C.

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Detailed Solution

' f ' is decreasing, major axis is along y -axis f(4a)a2−5⇒a2−4a−5<0⇒a∈−1, 5

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