Let `f(x)=x^(2)-9-|x-a|` . If the number of integers in the range of a so that `f(x)=0` has `4` distinct real root is `K` ,then `[(K)/(5)]=`, (`[ .]` denotes G.I.F)

If f(x)=x^(3)-3x+1, then the number of distinct real roots of the equation f(f(x))=0 is

Find the values of k for which the equation x^(2)-4x+k=0 has distinct real roots.

If f(x) is a polynomial of degree 5 with real coefficients such that f(|x|)=0 has 8 real roots, then f(x)=0 has

Let f(x)=(x^(2))/(9-x^(2)) and l= number of integers in the domain of f(x) where f(x) is increasing m= number of solutions of f(x)=sin xn= least positive integral value of k for which f(x)=k posses exactly 3 different solutions then

Let f (x) =(2 |x| -1)/(x-3) Range of the values of 'k' for which f (x) = k has exactly two distinct solutions:

Let f(x) be a polynomial of degree 5 such that f(|x|)=0 has 8 real distinct , Then number of real roots of f(x)=0 is ________.

Let f(x)=x^(2)+kx;k is a real number.The set of values of k for which the equation f(x)=0 and f(f(x))=0 have same real solution set.

Let f(x)=(x-[x])/(x-[x]+1) , ([.] is G.I.F.) is a real valued function then range of f(x) is

Let f(x)=(x-[x])/(x-[x]+1) , ([.] is G.I.F.) is a real valued function then range of f(x) is