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

Consider the ellipse (x^2)/(f(k^2+2k+5))+(y^2)/(f(k+11))=1. If f(x) is a positive decr4easing function, then the set of values of k for which the major axis is the x-axis is (-3,2)dot the set of values of k for which the major axis is the y-axis is (-oo,2)dot the set of values of k for which the major axis is the y-axis is (-oo,-3)uu(2,oo) the set of values of k for which the major axis is the y-axis is (-3,-oo,)

If f(x)=x^(3)+x^(2)+kx+4 is always increasing then least positive integral value of k is

Equation of major axis of the ellipse ((x-h)^(2))/(a^(2))+((y-k)^(2))/(b^(2))=1 (a

End points of the major axis of the ellipse ((x-h)^(2))/(a^(2))+((y-k)^(2))/(b^(2))=1(a

Let f (x) = (x+5)/(sqrt(x^(2) +1) ) , then the smallest integral value of k for which f (x) le k AA x in R is

If f(x)= (x^3)/(3)+3x^(2)+k^(2)x-10 is a many one function,find sum of all positive integral values of k

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