The number of possible integral values of `p` so that `f(x)=|x+2|+|2x-p|+|x-2|` attains is minimum value in `x in(-1,1)` ,is

Number of possible integral values of sqrt(x-2)+sqrt(6-x) is

The minimum value of 2x^(2)+x-1 is

The number of possible integral values of x satisfying |x^(2)-8x+12|+|x|=|x^(2)-7x+12| and 1<=|x|<25 is

The number of values of x where f(x) = cos x + cos sqrt2 x attains its maximum value is

The number of integral value(s) of p so that (p-2)^(2)x^(2)+(p-2)x+(p^(2)-3p+2)=0 becomes an identity in x is

The minimum value of the function f(x) = 2|x - 1| + |x - 2| is

Let f(x)={x^(2)-2|x|+a,x<=1 and 6+x,x<1 number of positive integral value(s) of 'a' forwhich f(x) has local minima at x=1 is/are