" Let "ax^(2)+bx+c" is integer for all integral values of "x," then which of the following must be true? "

If x is integer and x^2 is even, which of the following must be true?

It is given that the expression ax^(2)+bx+c is positive for all x greater than 5 .Then which of the following is true. (1) the equation ax^(2)+bx+c=0 has equal roots (2) a>0 and b (3) a>0 but b may or may not be negative (4) c>5

The graph of y=g(x) is shown in the figure above. If g(x)=ax^2+bx+c for constants a,b and c and if abc ne 0 , then which of the following must be true?

If the value of ax^2+bx+c is always an integer for integral values of x where a, b, c are rationals then a+b must be an integer.

If (x^(a)x^(b))/((x^(c))^(d))=x^(2) for all x ne 0 , which of the following must be true?

If sin x^@ = a , which of the following must be true for all values of x ?

Let f (x) =ax ^(2) + bx+ c,a gt = and f (2-x) =f (2+x) AA x in R and f (x) =0 has 2 distinct real roots, then which of the following is true ?

Let f (x) =ax ^(2) + bx+ c,a gt = and f (2-x) =f (2+x) AA x in R and f (x) =0 has 2 distinct real roots, then which of the following is true ?