Right option is (d) the slope of EGL will always be independent of that of the axis of the pipe
The explanation is: EGL is obtained by plotting total head at various points along the axis of the pipe.
where H is the total head, P ⁄ γ is the pressure head, z is the potential head, , and v^2 / 2g is the velocity head.
Hence, there is no relation whatsoever between the slope of EGL and that of the axis of the pipe.