If `x^(2)/(f(4a))+y^(2)/(f(a^(2)-5))` represents an ellipse with major axis as Y-axis and f is a decreasing function,then

If x^(2)/(f(4a))+y^(2)/(f(a^(2)-5)) =1 represents an ellipse with major axis as Y-axis and f is a decreasing function,then

If x^(2)/(f(4a))+y^(2)/(f(a^(2)-5)) =1 represents an ellipse with major axis as Y-axis and f is a decreasing function,then

Given f is increasing, the equation x^(2)/(f(2a))+y^(2)/(f(a^(2)-3))=1 represents an ellipse with X-axis as major axis if

Given f is increasing, the equation x^(2)/(f(2a))+y^(2)/(f(a^(2)-3))=1 represents an ellipse with X-axis as major axis if

Given f is increasing, the equation x^(2)/(f(2a))+y^(2)/(f(a^(2)-3))=1 represents an ellipse with X-axis as major axis if

Let f be a strictly decreasing function defined on R such that f(x) gt 0 AA x in R, and x^2/(f(a^2+5a+3))+y^2/(f(3a+15)) =1 represents an ellipse with major axis along the y-axis , then

Equation (x^(2))/(k^(2)-3)+(y^(2))/(2k)=1 represents an ellipse with y-axis as the major axis if k in

The equation of the ellipse with it's major axis is x-axis, minor axis is y-axis, eccentricity is 2/3 and the length of major axis is 12 is

Consider the ellipse (x^(2))/(f(k^(2)+2k+5))+(y^(2))/(f(k+11))=1 ,f(x) is a positive decreasing function the number of integral values of k for which the major axis is x -axis is