Find the number of positive integral values of k for which `kx ^(2) +(k-3)x+1 lt 0` for atleast one positive x.

Find the number of integral values of k for which x^2+2(k+1)x+(k^2+4k-2)=0 has equal roots.

The possible positive integral value of 'k' for which 5x ^(2) -2k x +1lt 0 has exactly one integral solution may be divisible by :

Find the number of integral values of k for which the equation 7 cos x+5 sin x=2k+1 has at least one solution.

The least integral value of 'k' for which (k-1) x ^(2) -(k+1) x+ (k+1) is positive for all real value of x is:

What is the least integral value of k for which the equation x^(2) - 2(k-1)x + (2k+1)=0 has both the roots positive ?

The values of k ,for which the equation x^(2)+2(k-1)x+k+5=0 possess atleast one positive root,are:

Find the no.of integral values of k for which the equation 7cos x+5sin x=2k+1 has atleast one solution.

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

Find the least positive value of k for which the equation x^(2)+kx+4=0 has real roots.