If the equation `x^2 - (2k + 1)x + (3k + 2) = 0` has exactly one root in (-1, 4), then the possible interval of the values of k is

If the equation x^2 - (2k + 1)x + k + 2 = 0 has exactly one root in (0, 2) such that maximum possible negative integral value of k is m and minimum possible positive integral value of k is M, then IM – m| is

If the equation x^(2)-(2k+1)x+k+2=0 has exactly one root in (0,2) such that maximum possible negative integral value of k is m and minimum possible positive integral value of k is M ,then |M - m| is

If one root of the equation x^2 - 3kx + (2k -1) = 0 is less than 2 and other root is greater than 4 , then minimum possible integral value of k is

If the equation sin ^(2) x - k sin x - 3 = 0 has exactly two distinct real roots in [0, pi] , then find the values of k .

If the equation sin ^(2) x - k sin x - 3 = 0 has exactly two distinct real roots in [0, pi] , then find the values of k .

If the equation sin ^(2) x - k sin x - 3 = 0 has exactly two distinct real roots in [0, pi] , then find the values of k .

If the equation x^(2) + 2 (1 + k ļx +k^(2)) = 0 has equal roots, then what is the value of k?

If the equation x^(log_(a)x^(2))=(x^(k-2))/a^(k),a ne 0 has exactly one solution for x, then the value of k is/are