If the graph of $y = ax^3 + bx^2 + cx + d$ is symmetric about the line $x = k$ then
$k=c$
$k = -\frac{c}{b}$
$a + \frac{c}{{2b}} + k = 0$
none of these
Below are four equations in $x$. Assume that $0 < r < 4$. Which of the following equations has the largest solution for $x$ ?
The sum of integral values of $a$ such that the equation $||x\ -2|\ -|3\ -x||\ =\ 2\ -a$ has a solution
If $x$ be real, then the maximum value of $5 + 4x - 4{x^2}$ will be equal to