The set of values of `k` for which `x^(2)+(4k-1)x+9>0AA x in R` is

The set of values of k for which kx^(2)-x-k+1<0AA x in R, is

Number of integral values of 'a' for which (a-1)x^(2)+(a-1)x+1>=0AA x in R ,is ?

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

The set of values of k for which x^(2)-kx+sin^(-1)(sin4)>0 for all real x is

Let f(x)=x^2-2a x+a-2 and g(x)=[2+sin^(- 1)((2x)/(1+x^2))]. If then set of real value 'a' for which f[g(x)] lt 0 AA x in R is (k_1,k_2), then the equation h(x)=[5k_1-3k_2] has 6 distinct soluuon where f(x)=|x-2| and h(x)=f(f(...........(f(x)))........), then find the value of 'n' ,(where [.] denotes the greatest integer function

Find the values of k for which |(x^(2)+kx+1)/(x^(2)+x+1)|<2,AA x in R

Let If the set of values of k for which f(x) 0is(p,q) then find the value of (4p+3q), where f(x)=kx^(2)+x(3-4k)-12

The set of values of k for which roots of the equation x^(2) - 3x + k = 0 lie in the interval (0, 2), is

Find the value of k for which x^(2) + k(4x + k - 1) + 2 = 0 has real and equal roots.

The set of real values of k for which the equation (k+1)x^(2)+2(k-1)xy+y^(2)-2x+2y+3=0 represents an ellipse is