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
(1, 4)
(-1, 1)
(-1, 5)
(5,∞)
' f ' is decreasing, major axis is along y -axis f(4a)<fa2−5⇒4a>a2−5⇒a2−4a−5<0
⇒a∈−1, 5