Let `f(x) = a x^2 + bx + c`, where `a, b, c in R, a!=0`. Suppose `|f(x)| leq1, x in [0,1]`, then

If f(x) = a + bx + cx^2 where a, b, c in R then int_o ^1 f(x)dx

If f(x) = a + bx + cx^2 where a, b, c in R then int_o ^1 f(x)dx

Let f:[0,5] -> [0,5) be an invertible function defined by f(x) = ax^2 + bx + C, where a, b, c in R, abc != 0, then one of the root of the equation cx^2 + bx + a = 0 is:

Let f:[0,5] -> [0,5) be an invertible function defined by f(x) = ax^2 + bx + C, where a, b, c in R, abc != 0, then one of the root of the equation cx^2 + bx + a = 0 is:

Let f(x) = ax^(2) + bx + c, a, b, c, in R and equation f(x) - x = 0 has imaginary roots alpha, beta . If r, s be the roots of f(f(x)) - x = 0 , then |(2,alpha,delta),(beta,0,alpha),(gamma,beta,1)| is

Let f(x) = ax^(2) + bx + c, a, b, c, in R and equation f(x) - x = 0 has imaginary roots alpha, beta . If r, s be the roots of f(f(x)) - x = 0 , then |(2,alpha,delta),(beta,0,alpha),(gamma,beta,1)| is

Let f(x)=ax^(2)+bx+c, where a,b,c,in R and a!=0, If f(2)=3f(1) and 3 is a roots of the equation f(x)=0, then the other roots of f(x)=0 is

Let f(x)=ax^(2)+bx+c , a ne 0 , a , b , c in I . Suppose that f(1)=0 , 50 lt f(7) lt 60 and 70 lt f(8) lt 80 . Number of integral values of x for which f(x) lt 0 is