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$\frac{x^{2}}{f (4 a)} + \frac{y^{2}}{f (a^{2} - 5)} = 1 represents an ellipse with major axis as y -axis and ' f' is decreasing function, positive for all ‘a’,$
$then a belongs to$

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Correct option is C

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

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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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Ready to Test Your Skills?

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$\frac{x^{2}}{f (4 a)} + \frac{y^{2}}{f (a^{2} - 5)} = 1 represents an ellipse with major axis as y -axis and ' f' is decreasing function, positive for all ‘a’,$
$then a belongs to$