First slide
Ellipse
Question

x2f(4a)+y2fa25=1 represents an ellipse with major axis as y -axis and ' f ' is decreasing function, positive for all ‘a’, 

then a belongs to 

Moderate
Solution

 ' f ' is decreasing, major axis is along y -axis f(4a)<fa254a>a25a24a5<0

a1,  5

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