List of top Computer Science Questions on Continuity

If the curves \(y^2 = 4ax\) and \(y = kx\) cut at right angles, then the value of \(k\) is:
If the curves \(y^2 = 4ax\) and \(y = kx\) cut at right angles, then the value of \(k\) is:

If \(\; f(x)=\begin{cases} x\sin\!\left(\tfrac{1}{x}\right), & x\neq 0 \\[6pt] 0, & x=0 \end{cases}, \; \text{then } f(x) \text{ is}\)