Question

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

Answer 1

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:

Q1: `0 < theta < pi/2`

Q2: `pi/2 < theta < pi`

Q3: `pi < theta < (3pi)/2`

Q4: `(3pi)/2 < theta < 2pi`

The point `(0, 1)` is on the positive part of the `y` axis, with angle `theta = pi/2` from the `x` axis. So it lies between Q1 and Q2.