1. **Problem 8(i):** Find the coordinates of a point lying on the positive y-axis at a distance of 3 units from the x-axis.
- Points on the y-axis have $x=0$.
- Distance from x-axis is the absolute value of the y-coordinate.
- Since the point is on the positive y-axis, $y=3$.
**Answer:** $(0, 3)$
2. **Problem 8(ii):** Find the coordinates of a point lying on the x-axis at a distance of 8 units from the y-axis.
- Points on the x-axis have $y=0$.
- Distance from y-axis is the absolute value of the x-coordinate.
- The point can be either to the right or left of the y-axis, so $x=8$ or $x=-8$.
**Answer:** $(8, 0)$ or $(-8, 0)$
3. **Problem 8(iii):** Find the coordinates of a point right of origin and on the x-axis at a distance of 2 units.
- On x-axis means $y=0$.
- Right of origin means $x>0$.
- Distance from origin is $|x|=2$, so $x=2$.
**Answer:** $(2, 0)$
Coordinates Points 1E0D98
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.