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

Value (s) of 'a' for which ax^2+(a-3)x+1lt0 for at least one positive x.

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.

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.

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.

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.

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 ?