If \(\; f(x)=\begin{cases} x\sin\!\left(\tfrac{1}{x}\right), & x\neq 0 \\[6pt] 0, & x=0 \end{cases}, \; \text{then } f(x) \text{ is}\)
If \( x^2 = -16y \) is an equation of a parabola, then:
(A) Directrix is \( y = 4 \) (B) Directrix is \( x = 4 \) (C) Co-ordinates of focus are \( (0, -4) \) (D) Co-ordinates of focus are \( (-4, 0) \) (E) Length of latus rectum is 16