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

Number of integral values of m for which x^(2)-2mx+6m-41<0,AA x in(1,6], is

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

Number of integral values of a for which the equation x^(2)-(a+1)x+a-1=0, has integral roots,is equal to -

Number of integral values of a for which quadratic equation (a-1)x^(2)+(4a+1)x-6=0 have both roots integer,is

Find the number of integral values of 'a' for which ax^(2)-(3a+2)x+2(a+1)<0,a!=0 holds exactly four integral value of x.

find a for which ax^(2) + x -1lt 0,AA x in R ?

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 int_(1)^(2)(a^(2)+4(1-a)x+4x^(2))dx<13

The values of 'a' for which 4^(x)-(a-4)2^(x)+(9a)/(4)<0AA x in(1,2) is

The number of integral values of a for which f(x)=x^(3)+(a+2)x^(2)+3ax+5 is monotonic in AA x in R