Home
Class 11
MATHS
If the equation x^(2)-(2k+1)x+k+2=0 has ...

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

Promotional Banner

Similar Questions

Explore conceptually related problems

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

If 5x^(2)-2kx+1<0 has exactly one integral solution which is 1 then sum of all positive integral values of k.

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

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

If the equation x ^(4)+kx ^(2) +k=0 has exactly two distinct real roots, then the smallest integral value of |k| is:

" If the equation "2x^(3)-9x^(2)+12x+k=0" has two equal roots then maximum value of "|k|

if the equation x^(2)-x=k-k^(2) (k in R) has one positive and one negative real roots, then number of possible integral values of "k" 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