Question

What quadrant is the coordinate (0,1) in?

Answer 1

Answer
It lies between quadrants 1 and 2
Explanation :
As far as I can tell, the definition of the four quadrants does not include the axes.
So if we represent angles by non-negative values of $\theta$ then :
$0<\theta \frac{\pi }{2}$
$\frac{\pi }{2}<\theta <\pi$
$\pi <\theta <\frac{3\pi }{2}$
$\frac{3\pi }{2}<\theta <2\pi$
The point (0,1) is on the positive part of the y axis, with angle $\theta =\frac{\pi }{2}$ from the x axis. So it lies between Q1 and Q2.